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Finding the Fourth Proportional to 7,338.46, 10,127.08 and 4,194.65

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Solution

The fourth proportional to 7,338.46, 10,127.08 and 4,194.65 is: 5,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.46 : 10,127.08 = 4,194.65 : x
  2. Step 2: Convert to fraction form
    7,338.46/10,127.08 = 4,194.65/x
  3. Step 3: Cross multiply
    7,338.46x = 10,127.08 × 4,194.65
  4. Step 4: Simplify right side
    7,338.46x = 42,479,556.12
  5. Step 5: Solve for x
    x = 42,479,556.12/7,338.46
  6. Step 6: Final answer
    x = 5,788.62

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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.