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Finding the Fourth Proportional to 10,785.52, 14,839.50 and 8,423.56

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Solution

The fourth proportional to 10,785.52, 14,839.50 and 8,423.56 is: 11,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.52 : 14,839.50 = 8,423.56 : x
  2. Step 2: Convert to fraction form
    10,785.52/14,839.50 = 8,423.56/x
  3. Step 3: Cross multiply
    10,785.52x = 14,839.50 × 8,423.56
  4. Step 4: Simplify right side
    10,785.52x = 125,001,418.62
  5. Step 5: Solve for x
    x = 125,001,418.62/10,785.52
  6. Step 6: Final answer
    x = 11,589.74

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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.