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Finding the Fourth Proportional to 8,671.88, 11,967.16 and 4,692.96

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Solution

The fourth proportional to 8,671.88, 11,967.16 and 4,692.96 is: 6,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.88 : 11,967.16 = 4,692.96 : x
  2. Step 2: Convert to fraction form
    8,671.88/11,967.16 = 4,692.96/x
  3. Step 3: Cross multiply
    8,671.88x = 11,967.16 × 4,692.96
  4. Step 4: Simplify right side
    8,671.88x = 56,161,403.19
  5. Step 5: Solve for x
    x = 56,161,403.19/8,671.88
  6. Step 6: Final answer
    x = 6,476.27

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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.