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Finding the Fourth Proportional to 11,052.75, 15,252.80 and 6,084.75

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Solution

The fourth proportional to 11,052.75, 15,252.80 and 6,084.75 is: 8,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.75 : 15,252.80 = 6,084.75 : x
  2. Step 2: Convert to fraction form
    11,052.75/15,252.80 = 6,084.75/x
  3. Step 3: Cross multiply
    11,052.75x = 15,252.80 × 6,084.75
  4. Step 4: Simplify right side
    11,052.75x = 92,809,444.38
  5. Step 5: Solve for x
    x = 92,809,444.38/11,052.75
  6. Step 6: Final answer
    x = 8,396.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.