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Finding the Fourth Proportional to 6,581.60, 9,880.14 and 5,195.90

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Solution

The fourth proportional to 6,581.60, 9,880.14 and 5,195.90 is: 7,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.60 : 9,880.14 = 5,195.90 : x
  2. Step 2: Convert to fraction form
    6,581.60/9,880.14 = 5,195.90/x
  3. Step 3: Cross multiply
    6,581.60x = 9,880.14 × 5,195.90
  4. Step 4: Simplify right side
    6,581.60x = 51,336,219.43
  5. Step 5: Solve for x
    x = 51,336,219.43/6,581.60
  6. Step 6: Final answer
    x = 7,799.96

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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.