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Finding the Fourth Proportional to 7,474.39, 10,314.57 and 4,117.15

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Solution

The fourth proportional to 7,474.39, 10,314.57 and 4,117.15 is: 5,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.39 : 10,314.57 = 4,117.15 : x
  2. Step 2: Convert to fraction form
    7,474.39/10,314.57 = 4,117.15/x
  3. Step 3: Cross multiply
    7,474.39x = 10,314.57 × 4,117.15
  4. Step 4: Simplify right side
    7,474.39x = 42,466,580.30
  5. Step 5: Solve for x
    x = 42,466,580.30/7,474.39
  6. Step 6: Final answer
    x = 5,681.62

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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.