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Finding the Fourth Proportional to 6,861.60, 10,281.42 and 6,679.35

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Solution

The fourth proportional to 6,861.60, 10,281.42 and 6,679.35 is: 10,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.60 : 10,281.42 = 6,679.35 : x
  2. Step 2: Convert to fraction form
    6,861.60/10,281.42 = 6,679.35/x
  3. Step 3: Cross multiply
    6,861.60x = 10,281.42 × 6,679.35
  4. Step 4: Simplify right side
    6,861.60x = 68,673,202.68
  5. Step 5: Solve for x
    x = 68,673,202.68/6,861.60
  6. Step 6: Final answer
    x = 10,008.34

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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.