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Finding the Fourth Proportional to 10,462.78, 15,687.29 and 5,959.99

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Solution

The fourth proportional to 10,462.78, 15,687.29 and 5,959.99 is: 8,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.78 : 15,687.29 = 5,959.99 : x
  2. Step 2: Convert to fraction form
    10,462.78/15,687.29 = 5,959.99/x
  3. Step 3: Cross multiply
    10,462.78x = 15,687.29 × 5,959.99
  4. Step 4: Simplify right side
    10,462.78x = 93,496,067.21
  5. Step 5: Solve for x
    x = 93,496,067.21/10,462.78
  6. Step 6: Final answer
    x = 8,936.07

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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.