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Finding the Fourth Proportional to 6,681.79, 10,022.56 and 2,001.83

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Solution

The fourth proportional to 6,681.79, 10,022.56 and 2,001.83 is: 3,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.79 : 10,022.56 = 2,001.83 : x
  2. Step 2: Convert to fraction form
    6,681.79/10,022.56 = 2,001.83/x
  3. Step 3: Cross multiply
    6,681.79x = 10,022.56 × 2,001.83
  4. Step 4: Simplify right side
    6,681.79x = 20,063,461.28
  5. Step 5: Solve for x
    x = 20,063,461.28/6,681.79
  6. Step 6: Final answer
    x = 3,002.71

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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.