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Finding the Fourth Proportional to 8,191,893.96, 11,309,063.49 and 5,984,277.90

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Solution

The fourth proportional to 8,191,893.96, 11,309,063.49 and 5,984,277.90 is: 8,261,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,893.96 : 11,309,063.49 = 5,984,277.90 : x
  2. Step 2: Convert to fraction form
    8,191,893.96/11,309,063.49 = 5,984,277.90/x
  3. Step 3: Cross multiply
    8,191,893.96x = 11,309,063.49 × 5,984,277.90
  4. Step 4: Simplify right side
    8,191,893.96x = 67,676,578,712,903.88
  5. Step 5: Solve for x
    x = 67,676,578,712,903.88/8,191,893.96
  6. Step 6: Final answer
    x = 8,261,408.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.