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Finding the Fourth Proportional to 10,251.60, 14,141.97 and 6,894.78

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Solution

The fourth proportional to 10,251.60, 14,141.97 and 6,894.78 is: 9,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.60 : 14,141.97 = 6,894.78 : x
  2. Step 2: Convert to fraction form
    10,251.60/14,141.97 = 6,894.78/x
  3. Step 3: Cross multiply
    10,251.60x = 14,141.97 × 6,894.78
  4. Step 4: Simplify right side
    10,251.60x = 97,505,771.92
  5. Step 5: Solve for x
    x = 97,505,771.92/10,251.60
  6. Step 6: Final answer
    x = 9,511.27

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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.