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Finding the Fourth Proportional to 10,389.60, 15,591.22 and 3,815.84

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Solution

The fourth proportional to 10,389.60, 15,591.22 and 3,815.84 is: 5,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.60 : 15,591.22 = 3,815.84 : x
  2. Step 2: Convert to fraction form
    10,389.60/15,591.22 = 3,815.84/x
  3. Step 3: Cross multiply
    10,389.60x = 15,591.22 × 3,815.84
  4. Step 4: Simplify right side
    10,389.60x = 59,493,600.92
  5. Step 5: Solve for x
    x = 59,493,600.92/10,389.60
  6. Step 6: Final answer
    x = 5,726.26

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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.