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Finding the Fourth Proportional to 7,474.23, 10,314.90 and 4,117.78

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Solution

The fourth proportional to 7,474.23, 10,314.90 and 4,117.78 is: 5,682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.23 : 10,314.90 = 4,117.78 : x
  2. Step 2: Convert to fraction form
    7,474.23/10,314.90 = 4,117.78/x
  3. Step 3: Cross multiply
    7,474.23x = 10,314.90 × 4,117.78
  4. Step 4: Simplify right side
    7,474.23x = 42,474,463.13
  5. Step 5: Solve for x
    x = 42,474,463.13/7,474.23
  6. Step 6: Final answer
    x = 5,682.79

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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.