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Finding the Fourth Proportional to 7,040.64, 9,716.10 and 3,896.85

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Solution

The fourth proportional to 7,040.64, 9,716.10 and 3,896.85 is: 5,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.64 : 9,716.10 = 3,896.85 : x
  2. Step 2: Convert to fraction form
    7,040.64/9,716.10 = 3,896.85/x
  3. Step 3: Cross multiply
    7,040.64x = 9,716.10 × 3,896.85
  4. Step 4: Simplify right side
    7,040.64x = 37,862,184.29
  5. Step 5: Solve for x
    x = 37,862,184.29/7,040.64
  6. Step 6: Final answer
    x = 5,377.66

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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.