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Finding the Fourth Proportional to 7,886.52, 11,815.20 and 3,981.60

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Solution

The fourth proportional to 7,886.52, 11,815.20 and 3,981.60 is: 5,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.52 : 11,815.20 = 3,981.60 : x
  2. Step 2: Convert to fraction form
    7,886.52/11,815.20 = 3,981.60/x
  3. Step 3: Cross multiply
    7,886.52x = 11,815.20 × 3,981.60
  4. Step 4: Simplify right side
    7,886.52x = 47,043,400.32
  5. Step 5: Solve for x
    x = 47,043,400.32/7,886.52
  6. Step 6: Final answer
    x = 5,965.04

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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.