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Finding the Fourth Proportional to 8,068.06, 12,110.57 and 7,149.50

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Solution

The fourth proportional to 8,068.06, 12,110.57 and 7,149.50 is: 10,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.06 : 12,110.57 = 7,149.50 : x
  2. Step 2: Convert to fraction form
    8,068.06/12,110.57 = 7,149.50/x
  3. Step 3: Cross multiply
    8,068.06x = 12,110.57 × 7,149.50
  4. Step 4: Simplify right side
    8,068.06x = 86,584,520.22
  5. Step 5: Solve for x
    x = 86,584,520.22/8,068.06
  6. Step 6: Final answer
    x = 10,731.76

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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.