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Finding the Fourth Proportional to 10,642.92, 14,687.94 and 5,927.94

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Solution

The fourth proportional to 10,642.92, 14,687.94 and 5,927.94 is: 8,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.92 : 14,687.94 = 5,927.94 : x
  2. Step 2: Convert to fraction form
    10,642.92/14,687.94 = 5,927.94/x
  3. Step 3: Cross multiply
    10,642.92x = 14,687.94 × 5,927.94
  4. Step 4: Simplify right side
    10,642.92x = 87,069,227.04
  5. Step 5: Solve for x
    x = 87,069,227.04/10,642.92
  6. Step 6: Final answer
    x = 8,180.95

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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.