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Finding the Fourth Proportional to 7,838.70, 11,758.01 and 1,915.62

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Solution

The fourth proportional to 7,838.70, 11,758.01 and 1,915.62 is: 2,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.70 : 11,758.01 = 1,915.62 : x
  2. Step 2: Convert to fraction form
    7,838.70/11,758.01 = 1,915.62/x
  3. Step 3: Cross multiply
    7,838.70x = 11,758.01 × 1,915.62
  4. Step 4: Simplify right side
    7,838.70x = 22,523,907.75
  5. Step 5: Solve for x
    x = 22,523,907.75/7,838.70
  6. Step 6: Final answer
    x = 2,873.42

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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.