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Finding the Fourth Proportional to 10,596.91, 15,918.06 and 7,841.29

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Solution

The fourth proportional to 10,596.91, 15,918.06 and 7,841.29 is: 11,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.91 : 15,918.06 = 7,841.29 : x
  2. Step 2: Convert to fraction form
    10,596.91/15,918.06 = 7,841.29/x
  3. Step 3: Cross multiply
    10,596.91x = 15,918.06 × 7,841.29
  4. Step 4: Simplify right side
    10,596.91x = 124,818,124.70
  5. Step 5: Solve for x
    x = 124,818,124.70/10,596.91
  6. Step 6: Final answer
    x = 11,778.73

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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.