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Finding the Fourth Proportional to 10,527.26, 15,775.86 and 7,732.02

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Solution

The fourth proportional to 10,527.26, 15,775.86 and 7,732.02 is: 11,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.26 : 15,775.86 = 7,732.02 : x
  2. Step 2: Convert to fraction form
    10,527.26/15,775.86 = 7,732.02/x
  3. Step 3: Cross multiply
    10,527.26x = 15,775.86 × 7,732.02
  4. Step 4: Simplify right side
    10,527.26x = 121,979,265.04
  5. Step 5: Solve for x
    x = 121,979,265.04/10,527.26
  6. Step 6: Final answer
    x = 11,586.99

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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.