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Finding the Fourth Proportional to 11,578.42, 15,972.33 and 7,322.31

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Solution

The fourth proportional to 11,578.42, 15,972.33 and 7,322.31 is: 10,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.42 : 15,972.33 = 7,322.31 : x
  2. Step 2: Convert to fraction form
    11,578.42/15,972.33 = 7,322.31/x
  3. Step 3: Cross multiply
    11,578.42x = 15,972.33 × 7,322.31
  4. Step 4: Simplify right side
    11,578.42x = 116,954,379.14
  5. Step 5: Solve for x
    x = 116,954,379.14/11,578.42
  6. Step 6: Final answer
    x = 10,101.06

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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.