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Finding the Fourth Proportional to 10,267.86, 14,169.60 and 5,791.65

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Solution

The fourth proportional to 10,267.86, 14,169.60 and 5,791.65 is: 7,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.86 : 14,169.60 = 5,791.65 : x
  2. Step 2: Convert to fraction form
    10,267.86/14,169.60 = 5,791.65/x
  3. Step 3: Cross multiply
    10,267.86x = 14,169.60 × 5,791.65
  4. Step 4: Simplify right side
    10,267.86x = 82,065,363.84
  5. Step 5: Solve for x
    x = 82,065,363.84/10,267.86
  6. Step 6: Final answer
    x = 7,992.45

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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.