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Finding the Fourth Proportional to 8,294.02, 11,441.39 and 5,740.70

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Solution

The fourth proportional to 8,294.02, 11,441.39 and 5,740.70 is: 7,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.02 : 11,441.39 = 5,740.70 : x
  2. Step 2: Convert to fraction form
    8,294.02/11,441.39 = 5,740.70/x
  3. Step 3: Cross multiply
    8,294.02x = 11,441.39 × 5,740.70
  4. Step 4: Simplify right side
    8,294.02x = 65,681,587.57
  5. Step 5: Solve for x
    x = 65,681,587.57/8,294.02
  6. Step 6: Final answer
    x = 7,919.15

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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.