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Finding the Fourth Proportional to 10,231.74, 15,345.24 and 3,989.58

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Solution

The fourth proportional to 10,231.74, 15,345.24 and 3,989.58 is: 5,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.74 : 15,345.24 = 3,989.58 : x
  2. Step 2: Convert to fraction form
    10,231.74/15,345.24 = 3,989.58/x
  3. Step 3: Cross multiply
    10,231.74x = 15,345.24 × 3,989.58
  4. Step 4: Simplify right side
    10,231.74x = 61,221,062.60
  5. Step 5: Solve for x
    x = 61,221,062.60/10,231.74
  6. Step 6: Final answer
    x = 5,983.45

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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.