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Finding the Fourth Proportional to 10,452.85, 14,424.89 and 5,737.03

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Solution

The fourth proportional to 10,452.85, 14,424.89 and 5,737.03 is: 7,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.85 : 14,424.89 = 5,737.03 : x
  2. Step 2: Convert to fraction form
    10,452.85/14,424.89 = 5,737.03/x
  3. Step 3: Cross multiply
    10,452.85x = 14,424.89 × 5,737.03
  4. Step 4: Simplify right side
    10,452.85x = 82,755,997.99
  5. Step 5: Solve for x
    x = 82,755,997.99/10,452.85
  6. Step 6: Final answer
    x = 7,917.08

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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.