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Finding the Fourth Proportional to 10,078.77, 15,118.16 and 8,343.75

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Solution

The fourth proportional to 10,078.77, 15,118.16 and 8,343.75 is: 12,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.77 : 15,118.16 = 8,343.75 : x
  2. Step 2: Convert to fraction form
    10,078.77/15,118.16 = 8,343.75/x
  3. Step 3: Cross multiply
    10,078.77x = 15,118.16 × 8,343.75
  4. Step 4: Simplify right side
    10,078.77x = 126,142,105.78
  5. Step 5: Solve for x
    x = 126,142,105.78/10,078.77
  6. Step 6: Final answer
    x = 12,515.63

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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.