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Finding the Fourth Proportional to 27,864, 41,798.43 and 7,087.50

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Solution

The fourth proportional to 27,864, 41,798.43 and 7,087.50 is: 10,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 41,798.43 = 7,087.50 : x
  2. Step 2: Convert to fraction form
    27,864/41,798.43 = 7,087.50/x
  3. Step 3: Cross multiply
    27,864x = 41,798.43 × 7,087.50
  4. Step 4: Simplify right side
    27,864x = 296,246,372.63
  5. Step 5: Solve for x
    x = 296,246,372.63/27,864
  6. Step 6: Final answer
    x = 10,631.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.