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Finding the Fourth Proportional to 6,866.32, 10,299.50 and 1,935.97

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Solution

The fourth proportional to 6,866.32, 10,299.50 and 1,935.97 is: 2,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.32 : 10,299.50 = 1,935.97 : x
  2. Step 2: Convert to fraction form
    6,866.32/10,299.50 = 1,935.97/x
  3. Step 3: Cross multiply
    6,866.32x = 10,299.50 × 1,935.97
  4. Step 4: Simplify right side
    6,866.32x = 19,939,523.02
  5. Step 5: Solve for x
    x = 19,939,523.02/6,866.32
  6. Step 6: Final answer
    x = 2,903.96

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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.