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Finding the Fourth Proportional to 12,552.76, 18,814.82 and 5,882.28

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Solution

The fourth proportional to 12,552.76, 18,814.82 and 5,882.28 is: 8,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,552.76 : 18,814.82 = 5,882.28 : x
  2. Step 2: Convert to fraction form
    12,552.76/18,814.82 = 5,882.28/x
  3. Step 3: Cross multiply
    12,552.76x = 18,814.82 × 5,882.28
  4. Step 4: Simplify right side
    12,552.76x = 110,674,039.39
  5. Step 5: Solve for x
    x = 110,674,039.39/12,552.76
  6. Step 6: Final answer
    x = 8,816.71

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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.