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Finding the Fourth Proportional to 10,294.92, 15,438.30 and 3,717.54

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Solution

The fourth proportional to 10,294.92, 15,438.30 and 3,717.54 is: 5,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.92 : 15,438.30 = 3,717.54 : x
  2. Step 2: Convert to fraction form
    10,294.92/15,438.30 = 3,717.54/x
  3. Step 3: Cross multiply
    10,294.92x = 15,438.30 × 3,717.54
  4. Step 4: Simplify right side
    10,294.92x = 57,392,497.78
  5. Step 5: Solve for x
    x = 57,392,497.78/10,294.92
  6. Step 6: Final answer
    x = 5,574.84

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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.