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Finding the Fourth Proportional to 6,684.47, 10,026.81 and 2,526.44

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Solution

The fourth proportional to 6,684.47, 10,026.81 and 2,526.44 is: 3,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.47 : 10,026.81 = 2,526.44 : x
  2. Step 2: Convert to fraction form
    6,684.47/10,026.81 = 2,526.44/x
  3. Step 3: Cross multiply
    6,684.47x = 10,026.81 × 2,526.44
  4. Step 4: Simplify right side
    6,684.47x = 25,332,083.72
  5. Step 5: Solve for x
    x = 25,332,083.72/6,684.47
  6. Step 6: Final answer
    x = 3,789.70

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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.