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Finding the Fourth Proportional to 6,880.60, 10,321.06 and 1,686.52

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Solution

The fourth proportional to 6,880.60, 10,321.06 and 1,686.52 is: 2,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.60 : 10,321.06 = 1,686.52 : x
  2. Step 2: Convert to fraction form
    6,880.60/10,321.06 = 1,686.52/x
  3. Step 3: Cross multiply
    6,880.60x = 10,321.06 × 1,686.52
  4. Step 4: Simplify right side
    6,880.60x = 17,406,674.11
  5. Step 5: Solve for x
    x = 17,406,674.11/6,880.60
  6. Step 6: Final answer
    x = 2,529.82

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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.