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Finding the Fourth Proportional to 10,426.75, 14,388.92 and 5,711.20

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Solution

The fourth proportional to 10,426.75, 14,388.92 and 5,711.20 is: 7,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.75 : 14,388.92 = 5,711.20 : x
  2. Step 2: Convert to fraction form
    10,426.75/14,388.92 = 5,711.20/x
  3. Step 3: Cross multiply
    10,426.75x = 14,388.92 × 5,711.20
  4. Step 4: Simplify right side
    10,426.75x = 82,177,999.90
  5. Step 5: Solve for x
    x = 82,177,999.90/10,426.75
  6. Step 6: Final answer
    x = 7,881.46

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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.