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Finding the Fourth Proportional to 7,922.69, 10,947.77 and 7,538.39

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Solution

The fourth proportional to 7,922.69, 10,947.77 and 7,538.39 is: 10,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.69 : 10,947.77 = 7,538.39 : x
  2. Step 2: Convert to fraction form
    7,922.69/10,947.77 = 7,538.39/x
  3. Step 3: Cross multiply
    7,922.69x = 10,947.77 × 7,538.39
  4. Step 4: Simplify right side
    7,922.69x = 82,528,467.46
  5. Step 5: Solve for x
    x = 82,528,467.46/7,922.69
  6. Step 6: Final answer
    x = 10,416.73

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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.