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Finding the Fourth Proportional to 7,391.82, 10,202.97 and 4,560.07

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Solution

The fourth proportional to 7,391.82, 10,202.97 and 4,560.07 is: 6,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.82 : 10,202.97 = 4,560.07 : x
  2. Step 2: Convert to fraction form
    7,391.82/10,202.97 = 4,560.07/x
  3. Step 3: Cross multiply
    7,391.82x = 10,202.97 × 4,560.07
  4. Step 4: Simplify right side
    7,391.82x = 46,526,257.41
  5. Step 5: Solve for x
    x = 46,526,257.41/7,391.82
  6. Step 6: Final answer
    x = 6,294.29

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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.