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Finding the Fourth Proportional to 6,880.69, 10,321.23 and 1,686.56

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Solution

The fourth proportional to 6,880.69, 10,321.23 and 1,686.56 is: 2,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.69 : 10,321.23 = 1,686.56 : x
  2. Step 2: Convert to fraction form
    6,880.69/10,321.23 = 1,686.56/x
  3. Step 3: Cross multiply
    6,880.69x = 10,321.23 × 1,686.56
  4. Step 4: Simplify right side
    6,880.69x = 17,407,373.67
  5. Step 5: Solve for x
    x = 17,407,373.67/6,880.69
  6. Step 6: Final answer
    x = 2,529.89

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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.