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Finding the Fourth Proportional to 10,498.40, 15,742.20 and 3,921.20

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Solution

The fourth proportional to 10,498.40, 15,742.20 and 3,921.20 is: 5,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.40 : 15,742.20 = 3,921.20 : x
  2. Step 2: Convert to fraction form
    10,498.40/15,742.20 = 3,921.20/x
  3. Step 3: Cross multiply
    10,498.40x = 15,742.20 × 3,921.20
  4. Step 4: Simplify right side
    10,498.40x = 61,728,314.64
  5. Step 5: Solve for x
    x = 61,728,314.64/10,498.40
  6. Step 6: Final answer
    x = 5,879.78

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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.