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Finding the Fourth Proportional to 10,791.49, 14,892.51 and 6,011.76

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Solution

The fourth proportional to 10,791.49, 14,892.51 and 6,011.76 is: 8,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.49 : 14,892.51 = 6,011.76 : x
  2. Step 2: Convert to fraction form
    10,791.49/14,892.51 = 6,011.76/x
  3. Step 3: Cross multiply
    10,791.49x = 14,892.51 × 6,011.76
  4. Step 4: Simplify right side
    10,791.49x = 89,530,195.92
  5. Step 5: Solve for x
    x = 89,530,195.92/10,791.49
  6. Step 6: Final answer
    x = 8,296.37

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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.