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Finding the Fourth Proportional to 6,012.42, 8,300.25 and 4,146.18

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Solution

The fourth proportional to 6,012.42, 8,300.25 and 4,146.18 is: 5,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.42 : 8,300.25 = 4,146.18 : x
  2. Step 2: Convert to fraction form
    6,012.42/8,300.25 = 4,146.18/x
  3. Step 3: Cross multiply
    6,012.42x = 8,300.25 × 4,146.18
  4. Step 4: Simplify right side
    6,012.42x = 34,414,330.55
  5. Step 5: Solve for x
    x = 34,414,330.55/6,012.42
  6. Step 6: Final answer
    x = 5,723.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.