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Finding the Fourth Proportional to 6,871.24, 10,293.90 and 6,093.64

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Solution

The fourth proportional to 6,871.24, 10,293.90 and 6,093.64 is: 9,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.24 : 10,293.90 = 6,093.64 : x
  2. Step 2: Convert to fraction form
    6,871.24/10,293.90 = 6,093.64/x
  3. Step 3: Cross multiply
    6,871.24x = 10,293.90 × 6,093.64
  4. Step 4: Simplify right side
    6,871.24x = 62,727,320.80
  5. Step 5: Solve for x
    x = 62,727,320.80/6,871.24
  6. Step 6: Final answer
    x = 9,128.97

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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.