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Finding the Fourth Proportional to 7,757.12, 11,642.42 and 4,432.02

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Solution

The fourth proportional to 7,757.12, 11,642.42 and 4,432.02 is: 6,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.12 : 11,642.42 = 4,432.02 : x
  2. Step 2: Convert to fraction form
    7,757.12/11,642.42 = 4,432.02/x
  3. Step 3: Cross multiply
    7,757.12x = 11,642.42 × 4,432.02
  4. Step 4: Simplify right side
    7,757.12x = 51,599,438.29
  5. Step 5: Solve for x
    x = 51,599,438.29/7,757.12
  6. Step 6: Final answer
    x = 6,651.88

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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.