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Finding the Fourth Proportional to 10,793.82, 14,895.38 and 6,013.71

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Solution

The fourth proportional to 10,793.82, 14,895.38 and 6,013.71 is: 8,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.82 : 14,895.38 = 6,013.71 : x
  2. Step 2: Convert to fraction form
    10,793.82/14,895.38 = 6,013.71/x
  3. Step 3: Cross multiply
    10,793.82x = 14,895.38 × 6,013.71
  4. Step 4: Simplify right side
    10,793.82x = 89,576,465.59
  5. Step 5: Solve for x
    x = 89,576,465.59/10,793.82
  6. Step 6: Final answer
    x = 8,298.87

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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.