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Finding the Fourth Proportional to 27,646.11, 41,463.05 and 7,920.27

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Solution

The fourth proportional to 27,646.11, 41,463.05 and 7,920.27 is: 11,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.11 : 41,463.05 = 7,920.27 : x
  2. Step 2: Convert to fraction form
    27,646.11/41,463.05 = 7,920.27/x
  3. Step 3: Cross multiply
    27,646.11x = 41,463.05 × 7,920.27
  4. Step 4: Simplify right side
    27,646.11x = 328,398,511.42
  5. Step 5: Solve for x
    x = 328,398,511.42/27,646.11
  6. Step 6: Final answer
    x = 11,878.65

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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.