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Finding the Fourth Proportional to 10,508.80, 14,502.90 and 5,793.88

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Solution

The fourth proportional to 10,508.80, 14,502.90 and 5,793.88 is: 7,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.80 : 14,502.90 = 5,793.88 : x
  2. Step 2: Convert to fraction form
    10,508.80/14,502.90 = 5,793.88/x
  3. Step 3: Cross multiply
    10,508.80x = 14,502.90 × 5,793.88
  4. Step 4: Simplify right side
    10,508.80x = 84,028,062.25
  5. Step 5: Solve for x
    x = 84,028,062.25/10,508.80
  6. Step 6: Final answer
    x = 7,995.97

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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.