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Finding the Fourth Proportional to 10,854.40, 14,979 and 6,138.70

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Solution

The fourth proportional to 10,854.40, 14,979 and 6,138.70 is: 8,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.40 : 14,979 = 6,138.70 : x
  2. Step 2: Convert to fraction form
    10,854.40/14,979 = 6,138.70/x
  3. Step 3: Cross multiply
    10,854.40x = 14,979 × 6,138.70
  4. Step 4: Simplify right side
    10,854.40x = 91,951,587.30
  5. Step 5: Solve for x
    x = 91,951,587.30/10,854.40
  6. Step 6: Final answer
    x = 8,471.37

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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.