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Finding the Fourth Proportional to 10,874.10, 15,021.78 and 10,086.78

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Solution

The fourth proportional to 10,874.10, 15,021.78 and 10,086.78 is: 13,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.10 : 15,021.78 = 10,086.78 : x
  2. Step 2: Convert to fraction form
    10,874.10/15,021.78 = 10,086.78/x
  3. Step 3: Cross multiply
    10,874.10x = 15,021.78 × 10,086.78
  4. Step 4: Simplify right side
    10,874.10x = 151,521,390.07
  5. Step 5: Solve for x
    x = 151,521,390.07/10,874.10
  6. Step 6: Final answer
    x = 13,934.15

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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.