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Finding the Fourth Proportional to 8,543.10, 11,789.25 and 4,766.38

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Solution

The fourth proportional to 8,543.10, 11,789.25 and 4,766.38 is: 6,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.10 : 11,789.25 = 4,766.38 : x
  2. Step 2: Convert to fraction form
    8,543.10/11,789.25 = 4,766.38/x
  3. Step 3: Cross multiply
    8,543.10x = 11,789.25 × 4,766.38
  4. Step 4: Simplify right side
    8,543.10x = 56,192,045.42
  5. Step 5: Solve for x
    x = 56,192,045.42/8,543.10
  6. Step 6: Final answer
    x = 6,577.48

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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.