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Finding the Fourth Proportional to 7,652.42, 11,467.68 and 4,358.71

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Solution

The fourth proportional to 7,652.42, 11,467.68 and 4,358.71 is: 6,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.42 : 11,467.68 = 4,358.71 : x
  2. Step 2: Convert to fraction form
    7,652.42/11,467.68 = 4,358.71/x
  3. Step 3: Cross multiply
    7,652.42x = 11,467.68 × 4,358.71
  4. Step 4: Simplify right side
    7,652.42x = 49,984,289.48
  5. Step 5: Solve for x
    x = 49,984,289.48/7,652.42
  6. Step 6: Final answer
    x = 6,531.83

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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.