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Finding the Fourth Proportional to 7,426.75, 10,248.92 and 4,114.75

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Solution

The fourth proportional to 7,426.75, 10,248.92 and 4,114.75 is: 5,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.75 : 10,248.92 = 4,114.75 : x
  2. Step 2: Convert to fraction form
    7,426.75/10,248.92 = 4,114.75/x
  3. Step 3: Cross multiply
    7,426.75x = 10,248.92 × 4,114.75
  4. Step 4: Simplify right side
    7,426.75x = 42,171,743.57
  5. Step 5: Solve for x
    x = 42,171,743.57/7,426.75
  6. Step 6: Final answer
    x = 5,678.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.