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Finding the Fourth Proportional to 8,596, 11,862.06 and 4,819.54

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Solution

The fourth proportional to 8,596, 11,862.06 and 4,819.54 is: 6,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 11,862.06 = 4,819.54 : x
  2. Step 2: Convert to fraction form
    8,596/11,862.06 = 4,819.54/x
  3. Step 3: Cross multiply
    8,596x = 11,862.06 × 4,819.54
  4. Step 4: Simplify right side
    8,596x = 57,169,672.65
  5. Step 5: Solve for x
    x = 57,169,672.65/8,596
  6. Step 6: Final answer
    x = 6,650.73

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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.