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Finding the Fourth Proportional to 10,611.62, 15,915.33 and 3,214.34

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Solution

The fourth proportional to 10,611.62, 15,915.33 and 3,214.34 is: 4,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.62 : 15,915.33 = 3,214.34 : x
  2. Step 2: Convert to fraction form
    10,611.62/15,915.33 = 3,214.34/x
  3. Step 3: Cross multiply
    10,611.62x = 15,915.33 × 3,214.34
  4. Step 4: Simplify right side
    10,611.62x = 51,157,281.83
  5. Step 5: Solve for x
    x = 51,157,281.83/10,611.62
  6. Step 6: Final answer
    x = 4,820.87

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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.