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Finding the Fourth Proportional to 7,249.32, 10,873.64 and 2,569.26

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Solution

The fourth proportional to 7,249.32, 10,873.64 and 2,569.26 is: 3,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.32 : 10,873.64 = 2,569.26 : x
  2. Step 2: Convert to fraction form
    7,249.32/10,873.64 = 2,569.26/x
  3. Step 3: Cross multiply
    7,249.32x = 10,873.64 × 2,569.26
  4. Step 4: Simplify right side
    7,249.32x = 27,937,153.94
  5. Step 5: Solve for x
    x = 27,937,153.94/7,249.32
  6. Step 6: Final answer
    x = 3,853.76

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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.