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Finding the Fourth Proportional to 10,818.77, 14,926.38 and 6,789.14

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Solution

The fourth proportional to 10,818.77, 14,926.38 and 6,789.14 is: 9,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818.77 : 14,926.38 = 6,789.14 : x
  2. Step 2: Convert to fraction form
    10,818.77/14,926.38 = 6,789.14/x
  3. Step 3: Cross multiply
    10,818.77x = 14,926.38 × 6,789.14
  4. Step 4: Simplify right side
    10,818.77x = 101,337,281.38
  5. Step 5: Solve for x
    x = 101,337,281.38/10,818.77
  6. Step 6: Final answer
    x = 9,366.81

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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.