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Finding the Fourth Proportional to 12,142.63, 16,756.78 and 6,765.13

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Solution

The fourth proportional to 12,142.63, 16,756.78 and 6,765.13 is: 9,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.63 : 16,756.78 = 6,765.13 : x
  2. Step 2: Convert to fraction form
    12,142.63/16,756.78 = 6,765.13/x
  3. Step 3: Cross multiply
    12,142.63x = 16,756.78 × 6,765.13
  4. Step 4: Simplify right side
    12,142.63x = 113,361,795.08
  5. Step 5: Solve for x
    x = 113,361,795.08/12,142.63
  6. Step 6: Final answer
    x = 9,335.85

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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.