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Finding the Fourth Proportional to 10,745.71, 16,116.33 and 2,952.70

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Solution

The fourth proportional to 10,745.71, 16,116.33 and 2,952.70 is: 4,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.71 : 16,116.33 = 2,952.70 : x
  2. Step 2: Convert to fraction form
    10,745.71/16,116.33 = 2,952.70/x
  3. Step 3: Cross multiply
    10,745.71x = 16,116.33 × 2,952.70
  4. Step 4: Simplify right side
    10,745.71x = 47,586,687.59
  5. Step 5: Solve for x
    x = 47,586,687.59/10,745.71
  6. Step 6: Final answer
    x = 4,428.44

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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.