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Finding the Fourth Proportional to 6,866.09, 10,274.51 and 5,944.82

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Solution

The fourth proportional to 6,866.09, 10,274.51 and 5,944.82 is: 8,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.09 : 10,274.51 = 5,944.82 : x
  2. Step 2: Convert to fraction form
    6,866.09/10,274.51 = 5,944.82/x
  3. Step 3: Cross multiply
    6,866.09x = 10,274.51 × 5,944.82
  4. Step 4: Simplify right side
    6,866.09x = 61,080,031.44
  5. Step 5: Solve for x
    x = 61,080,031.44/6,866.09
  6. Step 6: Final answer
    x = 8,895.90

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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.