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Finding the Fourth Proportional to 10,937.68, 15,101.04 and 8,414.80

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Solution

The fourth proportional to 10,937.68, 15,101.04 and 8,414.80 is: 11,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.68 : 15,101.04 = 8,414.80 : x
  2. Step 2: Convert to fraction form
    10,937.68/15,101.04 = 8,414.80/x
  3. Step 3: Cross multiply
    10,937.68x = 15,101.04 × 8,414.80
  4. Step 4: Simplify right side
    10,937.68x = 127,072,231.39
  5. Step 5: Solve for x
    x = 127,072,231.39/10,937.68
  6. Step 6: Final answer
    x = 11,617.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.