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Finding the Fourth Proportional to 11,284.38, 15,571.78 and 6,248.32

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Solution

The fourth proportional to 11,284.38, 15,571.78 and 6,248.32 is: 8,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.38 : 15,571.78 = 6,248.32 : x
  2. Step 2: Convert to fraction form
    11,284.38/15,571.78 = 6,248.32/x
  3. Step 3: Cross multiply
    11,284.38x = 15,571.78 × 6,248.32
  4. Step 4: Simplify right side
    11,284.38x = 97,297,409.86
  5. Step 5: Solve for x
    x = 97,297,409.86/11,284.38
  6. Step 6: Final answer
    x = 8,622.31

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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.