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Finding the Fourth Proportional to 10,737, 16,086.74 and 7,452.18

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Solution

The fourth proportional to 10,737, 16,086.74 and 7,452.18 is: 11,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737 : 16,086.74 = 7,452.18 : x
  2. Step 2: Convert to fraction form
    10,737/16,086.74 = 7,452.18/x
  3. Step 3: Cross multiply
    10,737x = 16,086.74 × 7,452.18
  4. Step 4: Simplify right side
    10,737x = 119,881,244.83
  5. Step 5: Solve for x
    x = 119,881,244.83/10,737
  6. Step 6: Final answer
    x = 11,165.25

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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.