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Finding the Fourth Proportional to 10,537.49, 14,537.17 and 6,343.31

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Solution

The fourth proportional to 10,537.49, 14,537.17 and 6,343.31 is: 8,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.49 : 14,537.17 = 6,343.31 : x
  2. Step 2: Convert to fraction form
    10,537.49/14,537.17 = 6,343.31/x
  3. Step 3: Cross multiply
    10,537.49x = 14,537.17 × 6,343.31
  4. Step 4: Simplify right side
    10,537.49x = 92,213,820.10
  5. Step 5: Solve for x
    x = 92,213,820.10/10,537.49
  6. Step 6: Final answer
    x = 8,751.02

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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.