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Finding the Fourth Proportional to 8,596.80, 12,924.36 and 6,863.94

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Solution

The fourth proportional to 8,596.80, 12,924.36 and 6,863.94 is: 10,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.80 : 12,924.36 = 6,863.94 : x
  2. Step 2: Convert to fraction form
    8,596.80/12,924.36 = 6,863.94/x
  3. Step 3: Cross multiply
    8,596.80x = 12,924.36 × 6,863.94
  4. Step 4: Simplify right side
    8,596.80x = 88,712,031.58
  5. Step 5: Solve for x
    x = 88,712,031.58/8,596.80
  6. Step 6: Final answer
    x = 10,319.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.