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Finding the Fourth Proportional to 7,206.57, 9,948.83 and 5,115.69

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Solution

The fourth proportional to 7,206.57, 9,948.83 and 5,115.69 is: 7,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.57 : 9,948.83 = 5,115.69 : x
  2. Step 2: Convert to fraction form
    7,206.57/9,948.83 = 5,115.69/x
  3. Step 3: Cross multiply
    7,206.57x = 9,948.83 × 5,115.69
  4. Step 4: Simplify right side
    7,206.57x = 50,895,104.56
  5. Step 5: Solve for x
    x = 50,895,104.56/7,206.57
  6. Step 6: Final answer
    x = 7,062.32

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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.