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Finding the Fourth Proportional to 10,251.70, 14,148.40 and 6,275.46

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Solution

The fourth proportional to 10,251.70, 14,148.40 and 6,275.46 is: 8,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.70 : 14,148.40 = 6,275.46 : x
  2. Step 2: Convert to fraction form
    10,251.70/14,148.40 = 6,275.46/x
  3. Step 3: Cross multiply
    10,251.70x = 14,148.40 × 6,275.46
  4. Step 4: Simplify right side
    10,251.70x = 88,787,718.26
  5. Step 5: Solve for x
    x = 88,787,718.26/10,251.70
  6. Step 6: Final answer
    x = 8,660.78

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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.