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Finding the Fourth Proportional to 8,397.94, 11,574.87 and 5,740.75

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Solution

The fourth proportional to 8,397.94, 11,574.87 and 5,740.75 is: 7,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.94 : 11,574.87 = 5,740.75 : x
  2. Step 2: Convert to fraction form
    8,397.94/11,574.87 = 5,740.75/x
  3. Step 3: Cross multiply
    8,397.94x = 11,574.87 × 5,740.75
  4. Step 4: Simplify right side
    8,397.94x = 66,448,434.95
  5. Step 5: Solve for x
    x = 66,448,434.95/8,397.94
  6. Step 6: Final answer
    x = 7,912.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.