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Finding the Fourth Proportional to 8,056.88, 12,084.78 and 2,213

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Solution

The fourth proportional to 8,056.88, 12,084.78 and 2,213 is: 3,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.88 : 12,084.78 = 2,213 : x
  2. Step 2: Convert to fraction form
    8,056.88/12,084.78 = 2,213/x
  3. Step 3: Cross multiply
    8,056.88x = 12,084.78 × 2,213
  4. Step 4: Simplify right side
    8,056.88x = 26,743,618.14
  5. Step 5: Solve for x
    x = 26,743,618.14/8,056.88
  6. Step 6: Final answer
    x = 3,319.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.