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Finding the Fourth Proportional to 7,240.97, 10,852.94 and 3,078.38

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Solution

The fourth proportional to 7,240.97, 10,852.94 and 3,078.38 is: 4,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.97 : 10,852.94 = 3,078.38 : x
  2. Step 2: Convert to fraction form
    7,240.97/10,852.94 = 3,078.38/x
  3. Step 3: Cross multiply
    7,240.97x = 10,852.94 × 3,078.38
  4. Step 4: Simplify right side
    7,240.97x = 33,409,403.78
  5. Step 5: Solve for x
    x = 33,409,403.78/7,240.97
  6. Step 6: Final answer
    x = 4,613.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.