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Finding the Fourth Proportional to 7,884.30, 10,874.88 and 6,392.28

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Solution

The fourth proportional to 7,884.30, 10,874.88 and 6,392.28 is: 8,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.30 : 10,874.88 = 6,392.28 : x
  2. Step 2: Convert to fraction form
    7,884.30/10,874.88 = 6,392.28/x
  3. Step 3: Cross multiply
    7,884.30x = 10,874.88 × 6,392.28
  4. Step 4: Simplify right side
    7,884.30x = 69,515,277.93
  5. Step 5: Solve for x
    x = 69,515,277.93/7,884.30
  6. Step 6: Final answer
    x = 8,816.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.