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Finding the Fourth Proportional to 12,876.60, 17,768.25 and 7,841.04

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Solution

The fourth proportional to 12,876.60, 17,768.25 and 7,841.04 is: 10,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.60 : 17,768.25 = 7,841.04 : x
  2. Step 2: Convert to fraction form
    12,876.60/17,768.25 = 7,841.04/x
  3. Step 3: Cross multiply
    12,876.60x = 17,768.25 × 7,841.04
  4. Step 4: Simplify right side
    12,876.60x = 139,321,558.98
  5. Step 5: Solve for x
    x = 139,321,558.98/12,876.60
  6. Step 6: Final answer
    x = 10,819.75

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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.