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Finding the Fourth Proportional to 7,474.87, 10,314.78 and 4,117.48

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Solution

The fourth proportional to 7,474.87, 10,314.78 and 4,117.48 is: 5,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.87 : 10,314.78 = 4,117.48 : x
  2. Step 2: Convert to fraction form
    7,474.87/10,314.78 = 4,117.48/x
  3. Step 3: Cross multiply
    7,474.87x = 10,314.78 × 4,117.48
  4. Step 4: Simplify right side
    7,474.87x = 42,470,934.52
  5. Step 5: Solve for x
    x = 42,470,934.52/7,474.87
  6. Step 6: Final answer
    x = 5,681.83

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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.