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Finding the Fourth Proportional to 8,166.30, 12,249.45 and 7,259.10

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Solution

The fourth proportional to 8,166.30, 12,249.45 and 7,259.10 is: 10,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.30 : 12,249.45 = 7,259.10 : x
  2. Step 2: Convert to fraction form
    8,166.30/12,249.45 = 7,259.10/x
  3. Step 3: Cross multiply
    8,166.30x = 12,249.45 × 7,259.10
  4. Step 4: Simplify right side
    8,166.30x = 88,919,982.50
  5. Step 5: Solve for x
    x = 88,919,982.50/8,166.30
  6. Step 6: Final answer
    x = 10,888.65

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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.