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Finding the Fourth Proportional to 8,532.71, 11,775.82 and 4,757.09

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Solution

The fourth proportional to 8,532.71, 11,775.82 and 4,757.09 is: 6,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.71 : 11,775.82 = 4,757.09 : x
  2. Step 2: Convert to fraction form
    8,532.71/11,775.82 = 4,757.09/x
  3. Step 3: Cross multiply
    8,532.71x = 11,775.82 × 4,757.09
  4. Step 4: Simplify right side
    8,532.71x = 56,018,635.56
  5. Step 5: Solve for x
    x = 56,018,635.56/8,532.71
  6. Step 6: Final answer
    x = 6,565.16

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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.