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Finding the Fourth Proportional to 8,139.56, 12,186.23 and 5,357.84

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Solution

The fourth proportional to 8,139.56, 12,186.23 and 5,357.84 is: 8,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.56 : 12,186.23 = 5,357.84 : x
  2. Step 2: Convert to fraction form
    8,139.56/12,186.23 = 5,357.84/x
  3. Step 3: Cross multiply
    8,139.56x = 12,186.23 × 5,357.84
  4. Step 4: Simplify right side
    8,139.56x = 65,291,782.82
  5. Step 5: Solve for x
    x = 65,291,782.82/8,139.56
  6. Step 6: Final answer
    x = 8,021.54

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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.