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Finding the Fourth Proportional to 10,791.48, 14,891.40 and 6,314.62

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Solution

The fourth proportional to 10,791.48, 14,891.40 and 6,314.62 is: 8,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.48 : 14,891.40 = 6,314.62 : x
  2. Step 2: Convert to fraction form
    10,791.48/14,891.40 = 6,314.62/x
  3. Step 3: Cross multiply
    10,791.48x = 14,891.40 × 6,314.62
  4. Step 4: Simplify right side
    10,791.48x = 94,033,532.27
  5. Step 5: Solve for x
    x = 94,033,532.27/10,791.48
  6. Step 6: Final answer
    x = 8,713.68

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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.