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Finding the Fourth Proportional to 8,340.14, 12,515.33 and 3,409.80

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Solution

The fourth proportional to 8,340.14, 12,515.33 and 3,409.80 is: 5,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.14 : 12,515.33 = 3,409.80 : x
  2. Step 2: Convert to fraction form
    8,340.14/12,515.33 = 3,409.80/x
  3. Step 3: Cross multiply
    8,340.14x = 12,515.33 × 3,409.80
  4. Step 4: Simplify right side
    8,340.14x = 42,674,780.76
  5. Step 5: Solve for x
    x = 42,674,780.76/8,340.14
  6. Step 6: Final answer
    x = 5,116.80

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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.