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Finding the Fourth Proportional to 6,860.64, 10,270.92 and 6,204.03

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Solution

The fourth proportional to 6,860.64, 10,270.92 and 6,204.03 is: 9,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.64 : 10,270.92 = 6,204.03 : x
  2. Step 2: Convert to fraction form
    6,860.64/10,270.92 = 6,204.03/x
  3. Step 3: Cross multiply
    6,860.64x = 10,270.92 × 6,204.03
  4. Step 4: Simplify right side
    6,860.64x = 63,721,103.43
  5. Step 5: Solve for x
    x = 63,721,103.43/6,860.64
  6. Step 6: Final answer
    x = 9,287.92

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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.