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Finding the Fourth Proportional to 7,565.76, 10,432.14 and 5,326.92

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Solution

The fourth proportional to 7,565.76, 10,432.14 and 5,326.92 is: 7,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.76 : 10,432.14 = 5,326.92 : x
  2. Step 2: Convert to fraction form
    7,565.76/10,432.14 = 5,326.92/x
  3. Step 3: Cross multiply
    7,565.76x = 10,432.14 × 5,326.92
  4. Step 4: Simplify right side
    7,565.76x = 55,571,175.21
  5. Step 5: Solve for x
    x = 55,571,175.21/7,565.76
  6. Step 6: Final answer
    x = 7,345.09

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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.