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Finding the Fourth Proportional to 10,422.96, 15,642.32 and 8,077.25

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Solution

The fourth proportional to 10,422.96, 15,642.32 and 8,077.25 is: 12,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.96 : 15,642.32 = 8,077.25 : x
  2. Step 2: Convert to fraction form
    10,422.96/15,642.32 = 8,077.25/x
  3. Step 3: Cross multiply
    10,422.96x = 15,642.32 × 8,077.25
  4. Step 4: Simplify right side
    10,422.96x = 126,346,810.62
  5. Step 5: Solve for x
    x = 126,346,810.62/10,422.96
  6. Step 6: Final answer
    x = 12,121.97

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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.