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Finding the Fourth Proportional to 7,566.75, 10,439.99 and 5,148.29

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Solution

The fourth proportional to 7,566.75, 10,439.99 and 5,148.29 is: 7,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.75 : 10,439.99 = 5,148.29 : x
  2. Step 2: Convert to fraction form
    7,566.75/10,439.99 = 5,148.29/x
  3. Step 3: Cross multiply
    7,566.75x = 10,439.99 × 5,148.29
  4. Step 4: Simplify right side
    7,566.75x = 53,748,115.78
  5. Step 5: Solve for x
    x = 53,748,115.78/7,566.75
  6. Step 6: Final answer
    x = 7,103.20

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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.