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Finding the Fourth Proportional to 8,322.78, 11,483.46 and 5,177.28

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Solution

The fourth proportional to 8,322.78, 11,483.46 and 5,177.28 is: 7,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.78 : 11,483.46 = 5,177.28 : x
  2. Step 2: Convert to fraction form
    8,322.78/11,483.46 = 5,177.28/x
  3. Step 3: Cross multiply
    8,322.78x = 11,483.46 × 5,177.28
  4. Step 4: Simplify right side
    8,322.78x = 59,453,087.79
  5. Step 5: Solve for x
    x = 59,453,087.79/8,322.78
  6. Step 6: Final answer
    x = 7,143.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.