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Finding the Fourth Proportional to 6,012.42, 8,302.82 and 5,685.18

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Solution

The fourth proportional to 6,012.42, 8,302.82 and 5,685.18 is: 7,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.42 : 8,302.82 = 5,685.18 : x
  2. Step 2: Convert to fraction form
    6,012.42/8,302.82 = 5,685.18/x
  3. Step 3: Cross multiply
    6,012.42x = 8,302.82 × 5,685.18
  4. Step 4: Simplify right side
    6,012.42x = 47,203,026.21
  5. Step 5: Solve for x
    x = 47,203,026.21/6,012.42
  6. Step 6: Final answer
    x = 7,850.92

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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.