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Finding the Fourth Proportional to 7,524.72, 11,272.69 and 4,564.07

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Solution

The fourth proportional to 7,524.72, 11,272.69 and 4,564.07 is: 6,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.72 : 11,272.69 = 4,564.07 : x
  2. Step 2: Convert to fraction form
    7,524.72/11,272.69 = 4,564.07/x
  3. Step 3: Cross multiply
    7,524.72x = 11,272.69 × 4,564.07
  4. Step 4: Simplify right side
    7,524.72x = 51,449,382.40
  5. Step 5: Solve for x
    x = 51,449,382.40/7,524.72
  6. Step 6: Final answer
    x = 6,837.38

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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.