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Finding the Fourth Proportional to 6,880.90, 10,321.39 and 1,686.78

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Solution

The fourth proportional to 6,880.90, 10,321.39 and 1,686.78 is: 2,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.90 : 10,321.39 = 1,686.78 : x
  2. Step 2: Convert to fraction form
    6,880.90/10,321.39 = 1,686.78/x
  3. Step 3: Cross multiply
    6,880.90x = 10,321.39 × 1,686.78
  4. Step 4: Simplify right side
    6,880.90x = 17,409,914.22
  5. Step 5: Solve for x
    x = 17,409,914.22/6,880.90
  6. Step 6: Final answer
    x = 2,530.18

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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.