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Finding the Fourth Proportional to 7,163.17, 10,747.09 and 6,005.28

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Solution

The fourth proportional to 7,163.17, 10,747.09 and 6,005.28 is: 9,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.17 : 10,747.09 = 6,005.28 : x
  2. Step 2: Convert to fraction form
    7,163.17/10,747.09 = 6,005.28/x
  3. Step 3: Cross multiply
    7,163.17x = 10,747.09 × 6,005.28
  4. Step 4: Simplify right side
    7,163.17x = 64,539,284.64
  5. Step 5: Solve for x
    x = 64,539,284.64/7,163.17
  6. Step 6: Final answer
    x = 9,009.88

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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.