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Finding the Fourth Proportional to 6,801.69, 10,200.33 and 6,358.83

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Solution

The fourth proportional to 6,801.69, 10,200.33 and 6,358.83 is: 9,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.69 : 10,200.33 = 6,358.83 : x
  2. Step 2: Convert to fraction form
    6,801.69/10,200.33 = 6,358.83/x
  3. Step 3: Cross multiply
    6,801.69x = 10,200.33 × 6,358.83
  4. Step 4: Simplify right side
    6,801.69x = 64,862,164.41
  5. Step 5: Solve for x
    x = 64,862,164.41/6,801.69
  6. Step 6: Final answer
    x = 9,536.18

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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.