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Finding the Fourth Proportional to 10,206.90, 15,296.08 and 5,516.80

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Solution

The fourth proportional to 10,206.90, 15,296.08 and 5,516.80 is: 8,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.90 : 15,296.08 = 5,516.80 : x
  2. Step 2: Convert to fraction form
    10,206.90/15,296.08 = 5,516.80/x
  3. Step 3: Cross multiply
    10,206.90x = 15,296.08 × 5,516.80
  4. Step 4: Simplify right side
    10,206.90x = 84,385,414.14
  5. Step 5: Solve for x
    x = 84,385,414.14/10,206.90
  6. Step 6: Final answer
    x = 8,267.49

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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.