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Finding the Fourth Proportional to 7,715.52, 11,584.80 and 4,432.32

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Solution

The fourth proportional to 7,715.52, 11,584.80 and 4,432.32 is: 6,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.52 : 11,584.80 = 4,432.32 : x
  2. Step 2: Convert to fraction form
    7,715.52/11,584.80 = 4,432.32/x
  3. Step 3: Cross multiply
    7,715.52x = 11,584.80 × 4,432.32
  4. Step 4: Simplify right side
    7,715.52x = 51,347,540.74
  5. Step 5: Solve for x
    x = 51,347,540.74/7,715.52
  6. Step 6: Final answer
    x = 6,655.10

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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.