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Finding the Fourth Proportional to 8,065.40, 12,029.13 and 7,084.68

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Solution

The fourth proportional to 8,065.40, 12,029.13 and 7,084.68 is: 10,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.40 : 12,029.13 = 7,084.68 : x
  2. Step 2: Convert to fraction form
    8,065.40/12,029.13 = 7,084.68/x
  3. Step 3: Cross multiply
    8,065.40x = 12,029.13 × 7,084.68
  4. Step 4: Simplify right side
    8,065.40x = 85,222,536.73
  5. Step 5: Solve for x
    x = 85,222,536.73/8,065.40
  6. Step 6: Final answer
    x = 10,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.