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Finding the Fourth Proportional to 10,605.87, 14,637.90 and 6,132.21

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Solution

The fourth proportional to 10,605.87, 14,637.90 and 6,132.21 is: 8,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.87 : 14,637.90 = 6,132.21 : x
  2. Step 2: Convert to fraction form
    10,605.87/14,637.90 = 6,132.21/x
  3. Step 3: Cross multiply
    10,605.87x = 14,637.90 × 6,132.21
  4. Step 4: Simplify right side
    10,605.87x = 89,762,646.10
  5. Step 5: Solve for x
    x = 89,762,646.10/10,605.87
  6. Step 6: Final answer
    x = 8,463.49

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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.