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Finding the Fourth Proportional to 7,046.49, 10,571.78 and 2,116.16

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Solution

The fourth proportional to 7,046.49, 10,571.78 and 2,116.16 is: 3,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.49 : 10,571.78 = 2,116.16 : x
  2. Step 2: Convert to fraction form
    7,046.49/10,571.78 = 2,116.16/x
  3. Step 3: Cross multiply
    7,046.49x = 10,571.78 × 2,116.16
  4. Step 4: Simplify right side
    7,046.49x = 22,371,570.04
  5. Step 5: Solve for x
    x = 22,371,570.04/7,046.49
  6. Step 6: Final answer
    x = 3,174.85

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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.