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Finding the Fourth Proportional to 7,538.04, 11,231.82 and 7,202.70

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Solution

The fourth proportional to 7,538.04, 11,231.82 and 7,202.70 is: 10,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.04 : 11,231.82 = 7,202.70 : x
  2. Step 2: Convert to fraction form
    7,538.04/11,231.82 = 7,202.70/x
  3. Step 3: Cross multiply
    7,538.04x = 11,231.82 × 7,202.70
  4. Step 4: Simplify right side
    7,538.04x = 80,899,429.91
  5. Step 5: Solve for x
    x = 80,899,429.91/7,538.04
  6. Step 6: Final answer
    x = 10,732.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.