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Finding the Fourth Proportional to 10,262.44, 15,393.66 and 2,471.25

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Solution

The fourth proportional to 10,262.44, 15,393.66 and 2,471.25 is: 3,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.44 : 15,393.66 = 2,471.25 : x
  2. Step 2: Convert to fraction form
    10,262.44/15,393.66 = 2,471.25/x
  3. Step 3: Cross multiply
    10,262.44x = 15,393.66 × 2,471.25
  4. Step 4: Simplify right side
    10,262.44x = 38,041,582.28
  5. Step 5: Solve for x
    x = 38,041,582.28/10,262.44
  6. Step 6: Final answer
    x = 3,706.88

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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.