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Finding the Fourth Proportional to 10,265.80, 14,168.10 and 5,789.80

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Solution

The fourth proportional to 10,265.80, 14,168.10 and 5,789.80 is: 7,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.80 : 14,168.10 = 5,789.80 : x
  2. Step 2: Convert to fraction form
    10,265.80/14,168.10 = 5,789.80/x
  3. Step 3: Cross multiply
    10,265.80x = 14,168.10 × 5,789.80
  4. Step 4: Simplify right side
    10,265.80x = 82,030,465.38
  5. Step 5: Solve for x
    x = 82,030,465.38/10,265.80
  6. Step 6: Final answer
    x = 7,990.65

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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.