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Finding the Fourth Proportional to 7,922.26, 10,930.57 and 4,734.15

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Solution

The fourth proportional to 7,922.26, 10,930.57 and 4,734.15 is: 6,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.26 : 10,930.57 = 4,734.15 : x
  2. Step 2: Convert to fraction form
    7,922.26/10,930.57 = 4,734.15/x
  3. Step 3: Cross multiply
    7,922.26x = 10,930.57 × 4,734.15
  4. Step 4: Simplify right side
    7,922.26x = 51,746,918.46
  5. Step 5: Solve for x
    x = 51,746,918.46/7,922.26
  6. Step 6: Final answer
    x = 6,531.84

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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.