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Finding the Fourth Proportional to 10,286.49, 15,426.54 and 3,711.82

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Solution

The fourth proportional to 10,286.49, 15,426.54 and 3,711.82 is: 5,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.49 : 15,426.54 = 3,711.82 : x
  2. Step 2: Convert to fraction form
    10,286.49/15,426.54 = 3,711.82/x
  3. Step 3: Cross multiply
    10,286.49x = 15,426.54 × 3,711.82
  4. Step 4: Simplify right side
    10,286.49x = 57,260,444.01
  5. Step 5: Solve for x
    x = 57,260,444.01/10,286.49
  6. Step 6: Final answer
    x = 5,566.57

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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.