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Finding the Fourth Proportional to 11,189.32, 15,440.66 and 6,221

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Solution

The fourth proportional to 11,189.32, 15,440.66 and 6,221 is: 8,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.32 : 15,440.66 = 6,221 : x
  2. Step 2: Convert to fraction form
    11,189.32/15,440.66 = 6,221/x
  3. Step 3: Cross multiply
    11,189.32x = 15,440.66 × 6,221
  4. Step 4: Simplify right side
    11,189.32x = 96,056,345.86
  5. Step 5: Solve for x
    x = 96,056,345.86/11,189.32
  6. Step 6: Final answer
    x = 8,584.65

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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.