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Finding the Fourth Proportional to 11,182.96, 16,774.25 and 2,862.90

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Solution

The fourth proportional to 11,182.96, 16,774.25 and 2,862.90 is: 4,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.96 : 16,774.25 = 2,862.90 : x
  2. Step 2: Convert to fraction form
    11,182.96/16,774.25 = 2,862.90/x
  3. Step 3: Cross multiply
    11,182.96x = 16,774.25 × 2,862.90
  4. Step 4: Simplify right side
    11,182.96x = 48,023,007.48
  5. Step 5: Solve for x
    x = 48,023,007.48/11,182.96
  6. Step 6: Final answer
    x = 4,294.30

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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.