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Finding the Fourth Proportional to 7,231.71, 10,830.24 and 3,712.47

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Solution

The fourth proportional to 7,231.71, 10,830.24 and 3,712.47 is: 5,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.71 : 10,830.24 = 3,712.47 : x
  2. Step 2: Convert to fraction form
    7,231.71/10,830.24 = 3,712.47/x
  3. Step 3: Cross multiply
    7,231.71x = 10,830.24 × 3,712.47
  4. Step 4: Simplify right side
    7,231.71x = 40,206,941.09
  5. Step 5: Solve for x
    x = 40,206,941.09/7,231.71
  6. Step 6: Final answer
    x = 5,559.81

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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.