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Finding the Fourth Proportional to 7,472.32, 11,206.16 and 2,473.74

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Solution

The fourth proportional to 7,472.32, 11,206.16 and 2,473.74 is: 3,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.32 : 11,206.16 = 2,473.74 : x
  2. Step 2: Convert to fraction form
    7,472.32/11,206.16 = 2,473.74/x
  3. Step 3: Cross multiply
    7,472.32x = 11,206.16 × 2,473.74
  4. Step 4: Simplify right side
    7,472.32x = 27,721,126.24
  5. Step 5: Solve for x
    x = 27,721,126.24/7,472.32
  6. Step 6: Final answer
    x = 3,709.84

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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.