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Finding the Fourth Proportional to 7,123.84, 10,685.44 and 3,227.52

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Solution

The fourth proportional to 7,123.84, 10,685.44 and 3,227.52 is: 4,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.84 : 10,685.44 = 3,227.52 : x
  2. Step 2: Convert to fraction form
    7,123.84/10,685.44 = 3,227.52/x
  3. Step 3: Cross multiply
    7,123.84x = 10,685.44 × 3,227.52
  4. Step 4: Simplify right side
    7,123.84x = 34,487,471.31
  5. Step 5: Solve for x
    x = 34,487,471.31/7,123.84
  6. Step 6: Final answer
    x = 4,841.14

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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.