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Finding the Fourth Proportional to 8,459.38, 11,673.84 and 4,682.55

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Solution

The fourth proportional to 8,459.38, 11,673.84 and 4,682.55 is: 6,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.38 : 11,673.84 = 4,682.55 : x
  2. Step 2: Convert to fraction form
    8,459.38/11,673.84 = 4,682.55/x
  3. Step 3: Cross multiply
    8,459.38x = 11,673.84 × 4,682.55
  4. Step 4: Simplify right side
    8,459.38x = 54,663,357.05
  5. Step 5: Solve for x
    x = 54,663,357.05/8,459.38
  6. Step 6: Final answer
    x = 6,461.87

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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.