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Finding the Fourth Proportional to 11,410.78, 17,117.61 and 3,915.80

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Solution

The fourth proportional to 11,410.78, 17,117.61 and 3,915.80 is: 5,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.78 : 17,117.61 = 3,915.80 : x
  2. Step 2: Convert to fraction form
    11,410.78/17,117.61 = 3,915.80/x
  3. Step 3: Cross multiply
    11,410.78x = 17,117.61 × 3,915.80
  4. Step 4: Simplify right side
    11,410.78x = 67,029,182.34
  5. Step 5: Solve for x
    x = 67,029,182.34/11,410.78
  6. Step 6: Final answer
    x = 5,874.20

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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.