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Finding the Fourth Proportional to 8,134.56, 12,182.40 and 6,190.56

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Solution

The fourth proportional to 8,134.56, 12,182.40 and 6,190.56 is: 9,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.56 : 12,182.40 = 6,190.56 : x
  2. Step 2: Convert to fraction form
    8,134.56/12,182.40 = 6,190.56/x
  3. Step 3: Cross multiply
    8,134.56x = 12,182.40 × 6,190.56
  4. Step 4: Simplify right side
    8,134.56x = 75,415,878.14
  5. Step 5: Solve for x
    x = 75,415,878.14/8,134.56
  6. Step 6: Final answer
    x = 9,271.05

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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.