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Finding the Fourth Proportional to 10,791.68, 14,890.26 and 6,314.56

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Solution

The fourth proportional to 10,791.68, 14,890.26 and 6,314.56 is: 8,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.68 : 14,890.26 = 6,314.56 : x
  2. Step 2: Convert to fraction form
    10,791.68/14,890.26 = 6,314.56/x
  3. Step 3: Cross multiply
    10,791.68x = 14,890.26 × 6,314.56
  4. Step 4: Simplify right side
    10,791.68x = 94,025,440.19
  5. Step 5: Solve for x
    x = 94,025,440.19/10,791.68
  6. Step 6: Final answer
    x = 8,712.77

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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.