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Finding the Fourth Proportional to 7,390.82, 10,199.49 and 4,033.94

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Solution

The fourth proportional to 7,390.82, 10,199.49 and 4,033.94 is: 5,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.82 : 10,199.49 = 4,033.94 : x
  2. Step 2: Convert to fraction form
    7,390.82/10,199.49 = 4,033.94/x
  3. Step 3: Cross multiply
    7,390.82x = 10,199.49 × 4,033.94
  4. Step 4: Simplify right side
    7,390.82x = 41,144,079.69
  5. Step 5: Solve for x
    x = 41,144,079.69/7,390.82
  6. Step 6: Final answer
    x = 5,566.92

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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.