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Finding the Fourth Proportional to 10,155.47, 15,232.34 and 3,491.42

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Solution

The fourth proportional to 10,155.47, 15,232.34 and 3,491.42 is: 5,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.47 : 15,232.34 = 3,491.42 : x
  2. Step 2: Convert to fraction form
    10,155.47/15,232.34 = 3,491.42/x
  3. Step 3: Cross multiply
    10,155.47x = 15,232.34 × 3,491.42
  4. Step 4: Simplify right side
    10,155.47x = 53,182,429.09
  5. Step 5: Solve for x
    x = 53,182,429.09/10,155.47
  6. Step 6: Final answer
    x = 5,236.83

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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.