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Finding the Fourth Proportional to 11,706.16, 17,559.24 and 3,915.52

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Solution

The fourth proportional to 11,706.16, 17,559.24 and 3,915.52 is: 5,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.16 : 17,559.24 = 3,915.52 : x
  2. Step 2: Convert to fraction form
    11,706.16/17,559.24 = 3,915.52/x
  3. Step 3: Cross multiply
    11,706.16x = 17,559.24 × 3,915.52
  4. Step 4: Simplify right side
    11,706.16x = 68,753,555.40
  5. Step 5: Solve for x
    x = 68,753,555.40/11,706.16
  6. Step 6: Final answer
    x = 5,873.28

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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.