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Finding the Fourth Proportional to 8,000.31, 11,041.05 and 4,415.98

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Solution

The fourth proportional to 8,000.31, 11,041.05 and 4,415.98 is: 6,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.31 : 11,041.05 = 4,415.98 : x
  2. Step 2: Convert to fraction form
    8,000.31/11,041.05 = 4,415.98/x
  3. Step 3: Cross multiply
    8,000.31x = 11,041.05 × 4,415.98
  4. Step 4: Simplify right side
    8,000.31x = 48,757,064.09
  5. Step 5: Solve for x
    x = 48,757,064.09/8,000.31
  6. Step 6: Final answer
    x = 6,094.40

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