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Finding the Fourth Proportional to 6,989.76, 10,486.08 and 5,843.52

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Solution

The fourth proportional to 6,989.76, 10,486.08 and 5,843.52 is: 8,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.76 : 10,486.08 = 5,843.52 : x
  2. Step 2: Convert to fraction form
    6,989.76/10,486.08 = 5,843.52/x
  3. Step 3: Cross multiply
    6,989.76x = 10,486.08 × 5,843.52
  4. Step 4: Simplify right side
    6,989.76x = 61,275,618.20
  5. Step 5: Solve for x
    x = 61,275,618.20/6,989.76
  6. Step 6: Final answer
    x = 8,766.48

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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.