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Finding the Fourth Proportional to 10,357.44, 15,532.38 and 3,781.68

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Solution

The fourth proportional to 10,357.44, 15,532.38 and 3,781.68 is: 5,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.44 : 15,532.38 = 3,781.68 : x
  2. Step 2: Convert to fraction form
    10,357.44/15,532.38 = 3,781.68/x
  3. Step 3: Cross multiply
    10,357.44x = 15,532.38 × 3,781.68
  4. Step 4: Simplify right side
    10,357.44x = 58,738,490.80
  5. Step 5: Solve for x
    x = 58,738,490.80/10,357.44
  6. Step 6: Final answer
    x = 5,671.14

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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.