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Finding the Fourth Proportional to 8,926.24, 12,318 and 5,200

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Solution

The fourth proportional to 8,926.24, 12,318 and 5,200 is: 7,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.24 : 12,318 = 5,200 : x
  2. Step 2: Convert to fraction form
    8,926.24/12,318 = 5,200/x
  3. Step 3: Cross multiply
    8,926.24x = 12,318 × 5,200
  4. Step 4: Simplify right side
    8,926.24x = 64,053,600
  5. Step 5: Solve for x
    x = 64,053,600/8,926.24
  6. Step 6: Final answer
    x = 7,175.88

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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.