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Finding the Fourth Proportional to 8,645.32, 11,929.68 and 4,868.38

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Solution

The fourth proportional to 8,645.32, 11,929.68 and 4,868.38 is: 6,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.32 : 11,929.68 = 4,868.38 : x
  2. Step 2: Convert to fraction form
    8,645.32/11,929.68 = 4,868.38/x
  3. Step 3: Cross multiply
    8,645.32x = 11,929.68 × 4,868.38
  4. Step 4: Simplify right side
    8,645.32x = 58,078,215.52
  5. Step 5: Solve for x
    x = 58,078,215.52/8,645.32
  6. Step 6: Final answer
    x = 6,717.88

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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.