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Finding the Fourth Proportional to 7,588.62, 11,382.53 and 5,358.29

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Solution

The fourth proportional to 7,588.62, 11,382.53 and 5,358.29 is: 8,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.62 : 11,382.53 = 5,358.29 : x
  2. Step 2: Convert to fraction form
    7,588.62/11,382.53 = 5,358.29/x
  3. Step 3: Cross multiply
    7,588.62x = 11,382.53 × 5,358.29
  4. Step 4: Simplify right side
    7,588.62x = 60,990,812.97
  5. Step 5: Solve for x
    x = 60,990,812.97/7,588.62
  6. Step 6: Final answer
    x = 8,037.14

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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.