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Finding the Fourth Proportional to 11,434.74, 15,780.10 and 6,399.17

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Solution

The fourth proportional to 11,434.74, 15,780.10 and 6,399.17 is: 8,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.74 : 15,780.10 = 6,399.17 : x
  2. Step 2: Convert to fraction form
    11,434.74/15,780.10 = 6,399.17/x
  3. Step 3: Cross multiply
    11,434.74x = 15,780.10 × 6,399.17
  4. Step 4: Simplify right side
    11,434.74x = 100,979,542.52
  5. Step 5: Solve for x
    x = 100,979,542.52/11,434.74
  6. Step 6: Final answer
    x = 8,830.94

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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.