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Finding the Fourth Proportional to 6,762.88, 10,141.44 and 2,656

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Solution

The fourth proportional to 6,762.88, 10,141.44 and 2,656 is: 3,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.88 : 10,141.44 = 2,656 : x
  2. Step 2: Convert to fraction form
    6,762.88/10,141.44 = 2,656/x
  3. Step 3: Cross multiply
    6,762.88x = 10,141.44 × 2,656
  4. Step 4: Simplify right side
    6,762.88x = 26,935,664.64
  5. Step 5: Solve for x
    x = 26,935,664.64/6,762.88
  6. Step 6: Final answer
    x = 3,982.87

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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.