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Finding the Fourth Proportional to 10,108.40, 15,167.86 and 7,642.49

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Solution

The fourth proportional to 10,108.40, 15,167.86 and 7,642.49 is: 11,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.40 : 15,167.86 = 7,642.49 : x
  2. Step 2: Convert to fraction form
    10,108.40/15,167.86 = 7,642.49/x
  3. Step 3: Cross multiply
    10,108.40x = 15,167.86 × 7,642.49
  4. Step 4: Simplify right side
    10,108.40x = 115,920,123.43
  5. Step 5: Solve for x
    x = 115,920,123.43/10,108.40
  6. Step 6: Final answer
    x = 11,467.71

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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.