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Finding the Fourth Proportional to 8,436.84, 12,568.64 and 8,057.76

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Solution

The fourth proportional to 8,436.84, 12,568.64 and 8,057.76 is: 12,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.84 : 12,568.64 = 8,057.76 : x
  2. Step 2: Convert to fraction form
    8,436.84/12,568.64 = 8,057.76/x
  3. Step 3: Cross multiply
    8,436.84x = 12,568.64 × 8,057.76
  4. Step 4: Simplify right side
    8,436.84x = 101,275,084.65
  5. Step 5: Solve for x
    x = 101,275,084.65/8,436.84
  6. Step 6: Final answer
    x = 12,003.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.