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Finding the Fourth Proportional to 7,414.92, 10,232.76 and 4,433.88

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Solution

The fourth proportional to 7,414.92, 10,232.76 and 4,433.88 is: 6,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.92 : 10,232.76 = 4,433.88 : x
  2. Step 2: Convert to fraction form
    7,414.92/10,232.76 = 4,433.88/x
  3. Step 3: Cross multiply
    7,414.92x = 10,232.76 × 4,433.88
  4. Step 4: Simplify right side
    7,414.92x = 45,370,829.91
  5. Step 5: Solve for x
    x = 45,370,829.91/7,414.92
  6. Step 6: Final answer
    x = 6,118.86

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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.