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Finding the Fourth Proportional to 7,841.97, 11,756.02 and 6,001.30

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Solution

The fourth proportional to 7,841.97, 11,756.02 and 6,001.30 is: 8,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.97 : 11,756.02 = 6,001.30 : x
  2. Step 2: Convert to fraction form
    7,841.97/11,756.02 = 6,001.30/x
  3. Step 3: Cross multiply
    7,841.97x = 11,756.02 × 6,001.30
  4. Step 4: Simplify right side
    7,841.97x = 70,551,367.58
  5. Step 5: Solve for x
    x = 70,551,367.58/7,841.97
  6. Step 6: Final answer
    x = 8,996.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.