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Finding the Fourth Proportional to 8,253, 11,388.84 and 4,716

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Solution

The fourth proportional to 8,253, 11,388.84 and 4,716 is: 6,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253 : 11,388.84 = 4,716 : x
  2. Step 2: Convert to fraction form
    8,253/11,388.84 = 4,716/x
  3. Step 3: Cross multiply
    8,253x = 11,388.84 × 4,716
  4. Step 4: Simplify right side
    8,253x = 53,709,769.44
  5. Step 5: Solve for x
    x = 53,709,769.44/8,253
  6. Step 6: Final answer
    x = 6,507.91

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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.