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Finding the Fourth Proportional to 7,442.52, 10,269 and 5,052.84

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Solution

The fourth proportional to 7,442.52, 10,269 and 5,052.84 is: 6,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.52 : 10,269 = 5,052.84 : x
  2. Step 2: Convert to fraction form
    7,442.52/10,269 = 5,052.84/x
  3. Step 3: Cross multiply
    7,442.52x = 10,269 × 5,052.84
  4. Step 4: Simplify right side
    7,442.52x = 51,887,613.96
  5. Step 5: Solve for x
    x = 51,887,613.96/7,442.52
  6. Step 6: Final answer
    x = 6,971.78

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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.