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Finding the Fourth Proportional to 7,472.72, 11,206.40 and 2,474.16

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Solution

The fourth proportional to 7,472.72, 11,206.40 and 2,474.16 is: 3,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.72 : 11,206.40 = 2,474.16 : x
  2. Step 2: Convert to fraction form
    7,472.72/11,206.40 = 2,474.16/x
  3. Step 3: Cross multiply
    7,472.72x = 11,206.40 × 2,474.16
  4. Step 4: Simplify right side
    7,472.72x = 27,726,426.62
  5. Step 5: Solve for x
    x = 27,726,426.62/7,472.72
  6. Step 6: Final answer
    x = 3,710.35

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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.