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Finding the Fourth Proportional to 11,358.25, 15,674.38 and 6,322.36

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Solution

The fourth proportional to 11,358.25, 15,674.38 and 6,322.36 is: 8,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.25 : 15,674.38 = 6,322.36 : x
  2. Step 2: Convert to fraction form
    11,358.25/15,674.38 = 6,322.36/x
  3. Step 3: Cross multiply
    11,358.25x = 15,674.38 × 6,322.36
  4. Step 4: Simplify right side
    11,358.25x = 99,099,073.14
  5. Step 5: Solve for x
    x = 99,099,073.14/11,358.25
  6. Step 6: Final answer
    x = 8,724.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.