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Finding the Fourth Proportional to 10,423.25, 15,634.85 and 8,054.78

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Solution

The fourth proportional to 10,423.25, 15,634.85 and 8,054.78 is: 12,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.25 : 15,634.85 = 8,054.78 : x
  2. Step 2: Convert to fraction form
    10,423.25/15,634.85 = 8,054.78/x
  3. Step 3: Cross multiply
    10,423.25x = 15,634.85 × 8,054.78
  4. Step 4: Simplify right side
    10,423.25x = 125,935,336.31
  5. Step 5: Solve for x
    x = 125,935,336.31/10,423.25
  6. Step 6: Final answer
    x = 12,082.15

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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.