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Finding the Fourth Proportional to 8,538.72, 12,813.83 and 2,992.11

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Solution

The fourth proportional to 8,538.72, 12,813.83 and 2,992.11 is: 4,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.72 : 12,813.83 = 2,992.11 : x
  2. Step 2: Convert to fraction form
    8,538.72/12,813.83 = 2,992.11/x
  3. Step 3: Cross multiply
    8,538.72x = 12,813.83 × 2,992.11
  4. Step 4: Simplify right side
    8,538.72x = 38,340,428.40
  5. Step 5: Solve for x
    x = 38,340,428.40/8,538.72
  6. Step 6: Final answer
    x = 4,490.19

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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.