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Finding the Fourth Proportional to 8,041.14, 12,065.40 and 4,143.42

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Solution

The fourth proportional to 8,041.14, 12,065.40 and 4,143.42 is: 6,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.14 : 12,065.40 = 4,143.42 : x
  2. Step 2: Convert to fraction form
    8,041.14/12,065.40 = 4,143.42/x
  3. Step 3: Cross multiply
    8,041.14x = 12,065.40 × 4,143.42
  4. Step 4: Simplify right side
    8,041.14x = 49,992,019.67
  5. Step 5: Solve for x
    x = 49,992,019.67/8,041.14
  6. Step 6: Final answer
    x = 6,217.03

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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.