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Finding the Fourth Proportional to 7,524.36, 11,265.68 and 5,669.87

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Solution

The fourth proportional to 7,524.36, 11,265.68 and 5,669.87 is: 8,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.36 : 11,265.68 = 5,669.87 : x
  2. Step 2: Convert to fraction form
    7,524.36/11,265.68 = 5,669.87/x
  3. Step 3: Cross multiply
    7,524.36x = 11,265.68 × 5,669.87
  4. Step 4: Simplify right side
    7,524.36x = 63,874,898.91
  5. Step 5: Solve for x
    x = 63,874,898.91/7,524.36
  6. Step 6: Final answer
    x = 8,489.08

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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.