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Finding the Fourth Proportional to 10,791.28, 14,891.88 and 6,076

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Solution

The fourth proportional to 10,791.28, 14,891.88 and 6,076 is: 8,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.28 : 14,891.88 = 6,076 : x
  2. Step 2: Convert to fraction form
    10,791.28/14,891.88 = 6,076/x
  3. Step 3: Cross multiply
    10,791.28x = 14,891.88 × 6,076
  4. Step 4: Simplify right side
    10,791.28x = 90,483,062.88
  5. Step 5: Solve for x
    x = 90,483,062.88/10,791.28
  6. Step 6: Final answer
    x = 8,384.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.