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Finding the Fourth Proportional to 11,562.30, 17,338.32 and 5,320.80

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Solution

The fourth proportional to 11,562.30, 17,338.32 and 5,320.80 is: 7,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.30 : 17,338.32 = 5,320.80 : x
  2. Step 2: Convert to fraction form
    11,562.30/17,338.32 = 5,320.80/x
  3. Step 3: Cross multiply
    11,562.30x = 17,338.32 × 5,320.80
  4. Step 4: Simplify right side
    11,562.30x = 92,253,733.06
  5. Step 5: Solve for x
    x = 92,253,733.06/11,562.30
  6. Step 6: Final answer
    x = 7,978.84

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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.