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Finding the Fourth Proportional to 11,008.38, 15,186.51 and 7,027.50

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Solution

The fourth proportional to 11,008.38, 15,186.51 and 7,027.50 is: 9,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008.38 : 15,186.51 = 7,027.50 : x
  2. Step 2: Convert to fraction form
    11,008.38/15,186.51 = 7,027.50/x
  3. Step 3: Cross multiply
    11,008.38x = 15,186.51 × 7,027.50
  4. Step 4: Simplify right side
    11,008.38x = 106,723,199.03
  5. Step 5: Solve for x
    x = 106,723,199.03/11,008.38
  6. Step 6: Final answer
    x = 9,694.72

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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.