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Finding the Fourth Proportional to 8,213.08, 11,337.78 and 5,233

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Solution

The fourth proportional to 8,213.08, 11,337.78 and 5,233 is: 7,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.08 : 11,337.78 = 5,233 : x
  2. Step 2: Convert to fraction form
    8,213.08/11,337.78 = 5,233/x
  3. Step 3: Cross multiply
    8,213.08x = 11,337.78 × 5,233
  4. Step 4: Simplify right side
    8,213.08x = 59,330,602.74
  5. Step 5: Solve for x
    x = 59,330,602.74/8,213.08
  6. Step 6: Final answer
    x = 7,223.92

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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.