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Finding the Fourth Proportional to 8,680.13, 13,020.80 and 3,486

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Solution

The fourth proportional to 8,680.13, 13,020.80 and 3,486 is: 5,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.13 : 13,020.80 = 3,486 : x
  2. Step 2: Convert to fraction form
    8,680.13/13,020.80 = 3,486/x
  3. Step 3: Cross multiply
    8,680.13x = 13,020.80 × 3,486
  4. Step 4: Simplify right side
    8,680.13x = 45,390,491.37
  5. Step 5: Solve for x
    x = 45,390,491.37/8,680.13
  6. Step 6: Final answer
    x = 5,229.24

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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.