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Finding the Fourth Proportional to 10,045.44, 15,069.20 and 3,470.78

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Solution

The fourth proportional to 10,045.44, 15,069.20 and 3,470.78 is: 5,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.44 : 15,069.20 = 3,470.78 : x
  2. Step 2: Convert to fraction form
    10,045.44/15,069.20 = 3,470.78/x
  3. Step 3: Cross multiply
    10,045.44x = 15,069.20 × 3,470.78
  4. Step 4: Simplify right side
    10,045.44x = 52,301,785.28
  5. Step 5: Solve for x
    x = 52,301,785.28/10,045.44
  6. Step 6: Final answer
    x = 5,206.52

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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.