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Finding the Fourth Proportional to 7,681.29, 10,604.70 and 7,238.43

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Solution

The fourth proportional to 7,681.29, 10,604.70 and 7,238.43 is: 9,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.29 : 10,604.70 = 7,238.43 : x
  2. Step 2: Convert to fraction form
    7,681.29/10,604.70 = 7,238.43/x
  3. Step 3: Cross multiply
    7,681.29x = 10,604.70 × 7,238.43
  4. Step 4: Simplify right side
    7,681.29x = 76,761,378.62
  5. Step 5: Solve for x
    x = 76,761,378.62/7,681.29
  6. Step 6: Final answer
    x = 9,993.29

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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.