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Finding the Fourth Proportional to 12,086.61, 16,680.53 and 6,709.55

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Solution

The fourth proportional to 12,086.61, 16,680.53 and 6,709.55 is: 9,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.61 : 16,680.53 = 6,709.55 : x
  2. Step 2: Convert to fraction form
    12,086.61/16,680.53 = 6,709.55/x
  3. Step 3: Cross multiply
    12,086.61x = 16,680.53 × 6,709.55
  4. Step 4: Simplify right side
    12,086.61x = 111,918,908.54
  5. Step 5: Solve for x
    x = 111,918,908.54/12,086.61
  6. Step 6: Final answer
    x = 9,259.74

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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.