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Finding the Fourth Proportional to 6,684.42, 10,026.63 and 3,761.13

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Solution

The fourth proportional to 6,684.42, 10,026.63 and 3,761.13 is: 5,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.42 : 10,026.63 = 3,761.13 : x
  2. Step 2: Convert to fraction form
    6,684.42/10,026.63 = 3,761.13/x
  3. Step 3: Cross multiply
    6,684.42x = 10,026.63 × 3,761.13
  4. Step 4: Simplify right side
    6,684.42x = 37,711,440.09
  5. Step 5: Solve for x
    x = 37,711,440.09/6,684.42
  6. Step 6: Final answer
    x = 5,641.69

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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.