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Finding the Fourth Proportional to 12,106.16, 18,125.41 and 6,539.56

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Solution

The fourth proportional to 12,106.16, 18,125.41 and 6,539.56 is: 9,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.16 : 18,125.41 = 6,539.56 : x
  2. Step 2: Convert to fraction form
    12,106.16/18,125.41 = 6,539.56/x
  3. Step 3: Cross multiply
    12,106.16x = 18,125.41 × 6,539.56
  4. Step 4: Simplify right side
    12,106.16x = 118,532,198.60
  5. Step 5: Solve for x
    x = 118,532,198.60/12,106.16
  6. Step 6: Final answer
    x = 9,791.07

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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.