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Finding the Fourth Proportional to 10,120.86, 13,951.54 and 7,878.78

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Solution

The fourth proportional to 10,120.86, 13,951.54 and 7,878.78 is: 10,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.86 : 13,951.54 = 7,878.78 : x
  2. Step 2: Convert to fraction form
    10,120.86/13,951.54 = 7,878.78/x
  3. Step 3: Cross multiply
    10,120.86x = 13,951.54 × 7,878.78
  4. Step 4: Simplify right side
    10,120.86x = 109,921,114.32
  5. Step 5: Solve for x
    x = 109,921,114.32/10,120.86
  6. Step 6: Final answer
    x = 10,860.85

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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.