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Finding the Fourth Proportional to 7,493.20, 11,242.08 and 5,306.16

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Solution

The fourth proportional to 7,493.20, 11,242.08 and 5,306.16 is: 7,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.20 : 11,242.08 = 5,306.16 : x
  2. Step 2: Convert to fraction form
    7,493.20/11,242.08 = 5,306.16/x
  3. Step 3: Cross multiply
    7,493.20x = 11,242.08 × 5,306.16
  4. Step 4: Simplify right side
    7,493.20x = 59,652,275.21
  5. Step 5: Solve for x
    x = 59,652,275.21/7,493.20
  6. Step 6: Final answer
    x = 7,960.85

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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.