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Finding the Fourth Proportional to 7,097.97, 10,638.89 and 4,318.52

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Solution

The fourth proportional to 7,097.97, 10,638.89 and 4,318.52 is: 6,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.97 : 10,638.89 = 4,318.52 : x
  2. Step 2: Convert to fraction form
    7,097.97/10,638.89 = 4,318.52/x
  3. Step 3: Cross multiply
    7,097.97x = 10,638.89 × 4,318.52
  4. Step 4: Simplify right side
    7,097.97x = 45,944,260.49
  5. Step 5: Solve for x
    x = 45,944,260.49/7,097.97
  6. Step 6: Final answer
    x = 6,472.87

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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.