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Finding the Fourth Proportional to 7,549.76, 11,308.12 and 5,351.82

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Solution

The fourth proportional to 7,549.76, 11,308.12 and 5,351.82 is: 8,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.76 : 11,308.12 = 5,351.82 : x
  2. Step 2: Convert to fraction form
    7,549.76/11,308.12 = 5,351.82/x
  3. Step 3: Cross multiply
    7,549.76x = 11,308.12 × 5,351.82
  4. Step 4: Simplify right side
    7,549.76x = 60,519,022.78
  5. Step 5: Solve for x
    x = 60,519,022.78/7,549.76
  6. Step 6: Final answer
    x = 8,016.02

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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.