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Finding the Fourth Proportional to 6,883.38, 10,308.42 and 6,538.86

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Solution

The fourth proportional to 6,883.38, 10,308.42 and 6,538.86 is: 9,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.38 : 10,308.42 = 6,538.86 : x
  2. Step 2: Convert to fraction form
    6,883.38/10,308.42 = 6,538.86/x
  3. Step 3: Cross multiply
    6,883.38x = 10,308.42 × 6,538.86
  4. Step 4: Simplify right side
    6,883.38x = 67,405,315.20
  5. Step 5: Solve for x
    x = 67,405,315.20/6,883.38
  6. Step 6: Final answer
    x = 9,792.47

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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.