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Finding the Fourth Proportional to 7,046.27, 10,571.02 and 2,116.00

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Solution

The fourth proportional to 7,046.27, 10,571.02 and 2,116.00 is: 3,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.27 : 10,571.02 = 2,116.00 : x
  2. Step 2: Convert to fraction form
    7,046.27/10,571.02 = 2,116.00/x
  3. Step 3: Cross multiply
    7,046.27x = 10,571.02 × 2,116.00
  4. Step 4: Simplify right side
    7,046.27x = 22,368,265.11
  5. Step 5: Solve for x
    x = 22,368,265.11/7,046.27
  6. Step 6: Final answer
    x = 3,174.48

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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.