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Finding the Fourth Proportional to 11,915.34, 17,870.10 and 4,015.80

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Solution

The fourth proportional to 11,915.34, 17,870.10 and 4,015.80 is: 6,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.34 : 17,870.10 = 4,015.80 : x
  2. Step 2: Convert to fraction form
    11,915.34/17,870.10 = 4,015.80/x
  3. Step 3: Cross multiply
    11,915.34x = 17,870.10 × 4,015.80
  4. Step 4: Simplify right side
    11,915.34x = 71,762,747.58
  5. Step 5: Solve for x
    x = 71,762,747.58/11,915.34
  6. Step 6: Final answer
    x = 6,022.72

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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.