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Finding the Fourth Proportional to 6,902.56, 10,342.96 and 4,301.60

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Solution

The fourth proportional to 6,902.56, 10,342.96 and 4,301.60 is: 6,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.56 : 10,342.96 = 4,301.60 : x
  2. Step 2: Convert to fraction form
    6,902.56/10,342.96 = 4,301.60/x
  3. Step 3: Cross multiply
    6,902.56x = 10,342.96 × 4,301.60
  4. Step 4: Simplify right side
    6,902.56x = 44,491,276.74
  5. Step 5: Solve for x
    x = 44,491,276.74/6,902.56
  6. Step 6: Final answer
    x = 6,445.62

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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.