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Finding the Fourth Proportional to 8,549.32, 12,824.36 and 2,706.36

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Solution

The fourth proportional to 8,549.32, 12,824.36 and 2,706.36 is: 4,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.32 : 12,824.36 = 2,706.36 : x
  2. Step 2: Convert to fraction form
    8,549.32/12,824.36 = 2,706.36/x
  3. Step 3: Cross multiply
    8,549.32x = 12,824.36 × 2,706.36
  4. Step 4: Simplify right side
    8,549.32x = 34,707,334.93
  5. Step 5: Solve for x
    x = 34,707,334.93/8,549.32
  6. Step 6: Final answer
    x = 4,059.66

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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.