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Finding the Fourth Proportional to 7,886.68, 11,820.82 and 5,932.60

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Solution

The fourth proportional to 7,886.68, 11,820.82 and 5,932.60 is: 8,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.68 : 11,820.82 = 5,932.60 : x
  2. Step 2: Convert to fraction form
    7,886.68/11,820.82 = 5,932.60/x
  3. Step 3: Cross multiply
    7,886.68x = 11,820.82 × 5,932.60
  4. Step 4: Simplify right side
    7,886.68x = 70,128,196.73
  5. Step 5: Solve for x
    x = 70,128,196.73/7,886.68
  6. Step 6: Final answer
    x = 8,891.98

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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.