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Finding the Fourth Proportional to 10,426.76, 14,388.94 and 5,711.48

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Solution

The fourth proportional to 10,426.76, 14,388.94 and 5,711.48 is: 7,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.76 : 14,388.94 = 5,711.48 : x
  2. Step 2: Convert to fraction form
    10,426.76/14,388.94 = 5,711.48/x
  3. Step 3: Cross multiply
    10,426.76x = 14,388.94 × 5,711.48
  4. Step 4: Simplify right side
    10,426.76x = 82,182,143.03
  5. Step 5: Solve for x
    x = 82,182,143.03/10,426.76
  6. Step 6: Final answer
    x = 7,881.85

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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.