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Finding the Fourth Proportional to 7,894.22, 10,884.17 and 5,056.93

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Solution

The fourth proportional to 7,894.22, 10,884.17 and 5,056.93 is: 6,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.22 : 10,884.17 = 5,056.93 : x
  2. Step 2: Convert to fraction form
    7,894.22/10,884.17 = 5,056.93/x
  3. Step 3: Cross multiply
    7,894.22x = 10,884.17 × 5,056.93
  4. Step 4: Simplify right side
    7,894.22x = 55,040,485.80
  5. Step 5: Solve for x
    x = 55,040,485.80/7,894.22
  6. Step 6: Final answer
    x = 6,972.25

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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.