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Finding the Fourth Proportional to 11,462.78, 15,818.49 and 6,426.99

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Solution

The fourth proportional to 11,462.78, 15,818.49 and 6,426.99 is: 8,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.78 : 15,818.49 = 6,426.99 : x
  2. Step 2: Convert to fraction form
    11,462.78/15,818.49 = 6,426.99/x
  3. Step 3: Cross multiply
    11,462.78x = 15,818.49 × 6,426.99
  4. Step 4: Simplify right side
    11,462.78x = 101,665,277.05
  5. Step 5: Solve for x
    x = 101,665,277.05/11,462.78
  6. Step 6: Final answer
    x = 8,869.16

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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.