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Finding the Fourth Proportional to 7,164.07, 10,744.71 and 3,605.25

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Solution

The fourth proportional to 7,164.07, 10,744.71 and 3,605.25 is: 5,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.07 : 10,744.71 = 3,605.25 : x
  2. Step 2: Convert to fraction form
    7,164.07/10,744.71 = 3,605.25/x
  3. Step 3: Cross multiply
    7,164.07x = 10,744.71 × 3,605.25
  4. Step 4: Simplify right side
    7,164.07x = 38,737,365.73
  5. Step 5: Solve for x
    x = 38,737,365.73/7,164.07
  6. Step 6: Final answer
    x = 5,407.17

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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.