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Finding the Fourth Proportional to 10,288.60, 15,400.02 and 5,351.44

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Solution

The fourth proportional to 10,288.60, 15,400.02 and 5,351.44 is: 8,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.60 : 15,400.02 = 5,351.44 : x
  2. Step 2: Convert to fraction form
    10,288.60/15,400.02 = 5,351.44/x
  3. Step 3: Cross multiply
    10,288.60x = 15,400.02 × 5,351.44
  4. Step 4: Simplify right side
    10,288.60x = 82,412,283.03
  5. Step 5: Solve for x
    x = 82,412,283.03/10,288.60
  6. Step 6: Final answer
    x = 8,010.06

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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.