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Finding the Fourth Proportional to 23,286.29, 34,929.08 and 5,756.11

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Solution

The fourth proportional to 23,286.29, 34,929.08 and 5,756.11 is: 8,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286.29 : 34,929.08 = 5,756.11 : x
  2. Step 2: Convert to fraction form
    23,286.29/34,929.08 = 5,756.11/x
  3. Step 3: Cross multiply
    23,286.29x = 34,929.08 × 5,756.11
  4. Step 4: Simplify right side
    23,286.29x = 201,055,553.75
  5. Step 5: Solve for x
    x = 201,055,553.75/23,286.29
  6. Step 6: Final answer
    x = 8,634.08

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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.