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Finding the Fourth Proportional to 7,922.25, 10,922.76 and 5,084.63

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Solution

The fourth proportional to 7,922.25, 10,922.76 and 5,084.63 is: 7,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.25 : 10,922.76 = 5,084.63 : x
  2. Step 2: Convert to fraction form
    7,922.25/10,922.76 = 5,084.63/x
  3. Step 3: Cross multiply
    7,922.25x = 10,922.76 × 5,084.63
  4. Step 4: Simplify right side
    7,922.25x = 55,538,138.57
  5. Step 5: Solve for x
    x = 55,538,138.57/7,922.25
  6. Step 6: Final answer
    x = 7,010.40

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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.