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Finding the Fourth Proportional to 10,470.95, 15,708.37 and 3,451.46

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Solution

The fourth proportional to 10,470.95, 15,708.37 and 3,451.46 is: 5,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.95 : 15,708.37 = 3,451.46 : x
  2. Step 2: Convert to fraction form
    10,470.95/15,708.37 = 3,451.46/x
  3. Step 3: Cross multiply
    10,470.95x = 15,708.37 × 3,451.46
  4. Step 4: Simplify right side
    10,470.95x = 54,216,785.67
  5. Step 5: Solve for x
    x = 54,216,785.67/10,470.95
  6. Step 6: Final answer
    x = 5,177.83

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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.