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Finding the Fourth Proportional to 10,775.52, 16,163.28 and 6,159.84

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Solution

The fourth proportional to 10,775.52, 16,163.28 and 6,159.84 is: 9,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.52 : 16,163.28 = 6,159.84 : x
  2. Step 2: Convert to fraction form
    10,775.52/16,163.28 = 6,159.84/x
  3. Step 3: Cross multiply
    10,775.52x = 16,163.28 × 6,159.84
  4. Step 4: Simplify right side
    10,775.52x = 99,563,218.68
  5. Step 5: Solve for x
    x = 99,563,218.68/10,775.52
  6. Step 6: Final answer
    x = 9,239.76

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