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Finding the Fourth Proportional to 7,645.71, 10,546.23 and 5,524.37

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Solution

The fourth proportional to 7,645.71, 10,546.23 and 5,524.37 is: 7,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.71 : 10,546.23 = 5,524.37 : x
  2. Step 2: Convert to fraction form
    7,645.71/10,546.23 = 5,524.37/x
  3. Step 3: Cross multiply
    7,645.71x = 10,546.23 × 5,524.37
  4. Step 4: Simplify right side
    7,645.71x = 58,261,223.89
  5. Step 5: Solve for x
    x = 58,261,223.89/7,645.71
  6. Step 6: Final answer
    x = 7,620.12

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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.