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Finding the Fourth Proportional to 11,270.68, 15,553.38 and 6,302.68

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Solution

The fourth proportional to 11,270.68, 15,553.38 and 6,302.68 is: 8,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.68 : 15,553.38 = 6,302.68 : x
  2. Step 2: Convert to fraction form
    11,270.68/15,553.38 = 6,302.68/x
  3. Step 3: Cross multiply
    11,270.68x = 15,553.38 × 6,302.68
  4. Step 4: Simplify right side
    11,270.68x = 98,027,977.06
  5. Step 5: Solve for x
    x = 98,027,977.06/11,270.68
  6. Step 6: Final answer
    x = 8,697.61

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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.