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Finding the Fourth Proportional to 7,578.47, 11,346.73 and 3,872.72

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Solution

The fourth proportional to 7,578.47, 11,346.73 and 3,872.72 is: 5,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.47 : 11,346.73 = 3,872.72 : x
  2. Step 2: Convert to fraction form
    7,578.47/11,346.73 = 3,872.72/x
  3. Step 3: Cross multiply
    7,578.47x = 11,346.73 × 3,872.72
  4. Step 4: Simplify right side
    7,578.47x = 43,942,708.21
  5. Step 5: Solve for x
    x = 43,942,708.21/7,578.47
  6. Step 6: Final answer
    x = 5,798.36

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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.