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Finding the Fourth Proportional to 7,902.36, 11,843.82 and 5,718.60

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Solution

The fourth proportional to 7,902.36, 11,843.82 and 5,718.60 is: 8,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.36 : 11,843.82 = 5,718.60 : x
  2. Step 2: Convert to fraction form
    7,902.36/11,843.82 = 5,718.60/x
  3. Step 3: Cross multiply
    7,902.36x = 11,843.82 × 5,718.60
  4. Step 4: Simplify right side
    7,902.36x = 67,730,069.05
  5. Step 5: Solve for x
    x = 67,730,069.05/7,902.36
  6. Step 6: Final answer
    x = 8,570.87

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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.