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Finding the Fourth Proportional to 12,086.34, 18,112.65 and 6,527.72

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Solution

The fourth proportional to 12,086.34, 18,112.65 and 6,527.72 is: 9,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.34 : 18,112.65 = 6,527.72 : x
  2. Step 2: Convert to fraction form
    12,086.34/18,112.65 = 6,527.72/x
  3. Step 3: Cross multiply
    12,086.34x = 18,112.65 × 6,527.72
  4. Step 4: Simplify right side
    12,086.34x = 118,234,217.09
  5. Step 5: Solve for x
    x = 118,234,217.09/12,086.34
  6. Step 6: Final answer
    x = 9,782.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.