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Finding the Fourth Proportional to 7,040.40, 9,715.80 and 3,896.52

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Solution

The fourth proportional to 7,040.40, 9,715.80 and 3,896.52 is: 5,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.40 : 9,715.80 = 3,896.52 : x
  2. Step 2: Convert to fraction form
    7,040.40/9,715.80 = 3,896.52/x
  3. Step 3: Cross multiply
    7,040.40x = 9,715.80 × 3,896.52
  4. Step 4: Simplify right side
    7,040.40x = 37,857,809.02
  5. Step 5: Solve for x
    x = 37,857,809.02/7,040.40
  6. Step 6: Final answer
    x = 5,377.22

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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.