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Finding the Fourth Proportional to 8,588.29, 12,871.17 and 6,224.31

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Solution

The fourth proportional to 8,588.29, 12,871.17 and 6,224.31 is: 9,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.29 : 12,871.17 = 6,224.31 : x
  2. Step 2: Convert to fraction form
    8,588.29/12,871.17 = 6,224.31/x
  3. Step 3: Cross multiply
    8,588.29x = 12,871.17 × 6,224.31
  4. Step 4: Simplify right side
    8,588.29x = 80,114,152.14
  5. Step 5: Solve for x
    x = 80,114,152.14/8,588.29
  6. Step 6: Final answer
    x = 9,328.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.