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Finding the Fourth Proportional to 7,417.71, 11,121.32 and 3,464.78

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Solution

The fourth proportional to 7,417.71, 11,121.32 and 3,464.78 is: 5,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.71 : 11,121.32 = 3,464.78 : x
  2. Step 2: Convert to fraction form
    7,417.71/11,121.32 = 3,464.78/x
  3. Step 3: Cross multiply
    7,417.71x = 11,121.32 × 3,464.78
  4. Step 4: Simplify right side
    7,417.71x = 38,532,854.18
  5. Step 5: Solve for x
    x = 38,532,854.18/7,417.71
  6. Step 6: Final answer
    x = 5,194.71

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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.