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Finding the Fourth Proportional to 7,123.96, 10,688.10 and 3,425.14

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Solution

The fourth proportional to 7,123.96, 10,688.10 and 3,425.14 is: 5,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.96 : 10,688.10 = 3,425.14 : x
  2. Step 2: Convert to fraction form
    7,123.96/10,688.10 = 3,425.14/x
  3. Step 3: Cross multiply
    7,123.96x = 10,688.10 × 3,425.14
  4. Step 4: Simplify right side
    7,123.96x = 36,608,238.83
  5. Step 5: Solve for x
    x = 36,608,238.83/7,123.96
  6. Step 6: Final answer
    x = 5,138.75

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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.