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Finding the Fourth Proportional to 12,114.78, 16,707.30 and 7,861.44

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Solution

The fourth proportional to 12,114.78, 16,707.30 and 7,861.44 is: 10,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.78 : 16,707.30 = 7,861.44 : x
  2. Step 2: Convert to fraction form
    12,114.78/16,707.30 = 7,861.44/x
  3. Step 3: Cross multiply
    12,114.78x = 16,707.30 × 7,861.44
  4. Step 4: Simplify right side
    12,114.78x = 131,343,436.51
  5. Step 5: Solve for x
    x = 131,343,436.51/12,114.78
  6. Step 6: Final answer
    x = 10,841.59

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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.