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Finding the Fourth Proportional to 8,065.93, 12,097.98 and 2,799.97

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Solution

The fourth proportional to 8,065.93, 12,097.98 and 2,799.97 is: 4,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.93 : 12,097.98 = 2,799.97 : x
  2. Step 2: Convert to fraction form
    8,065.93/12,097.98 = 2,799.97/x
  3. Step 3: Cross multiply
    8,065.93x = 12,097.98 × 2,799.97
  4. Step 4: Simplify right side
    8,065.93x = 33,873,981.06
  5. Step 5: Solve for x
    x = 33,873,981.06/8,065.93
  6. Step 6: Final answer
    x = 4,199.64

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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.