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Finding the Fourth Proportional to 7,446.52, 10,270.56 and 5,207.68

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Solution

The fourth proportional to 7,446.52, 10,270.56 and 5,207.68 is: 7,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.52 : 10,270.56 = 5,207.68 : x
  2. Step 2: Convert to fraction form
    7,446.52/10,270.56 = 5,207.68/x
  3. Step 3: Cross multiply
    7,446.52x = 10,270.56 × 5,207.68
  4. Step 4: Simplify right side
    7,446.52x = 53,485,789.90
  5. Step 5: Solve for x
    x = 53,485,789.90/7,446.52
  6. Step 6: Final answer
    x = 7,182.66

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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.