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Finding the Fourth Proportional to 10,470.75, 15,708.05 and 3,451.18

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Solution

The fourth proportional to 10,470.75, 15,708.05 and 3,451.18 is: 5,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.75 : 15,708.05 = 3,451.18 : x
  2. Step 2: Convert to fraction form
    10,470.75/15,708.05 = 3,451.18/x
  3. Step 3: Cross multiply
    10,470.75x = 15,708.05 × 3,451.18
  4. Step 4: Simplify right side
    10,470.75x = 54,211,308.00
  5. Step 5: Solve for x
    x = 54,211,308.00/10,470.75
  6. Step 6: Final answer
    x = 5,177.40

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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.