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Finding the Fourth Proportional to 8,123.78, 11,205.52 and 5,737.22

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Solution

The fourth proportional to 8,123.78, 11,205.52 and 5,737.22 is: 7,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.78 : 11,205.52 = 5,737.22 : x
  2. Step 2: Convert to fraction form
    8,123.78/11,205.52 = 5,737.22/x
  3. Step 3: Cross multiply
    8,123.78x = 11,205.52 × 5,737.22
  4. Step 4: Simplify right side
    8,123.78x = 64,288,533.45
  5. Step 5: Solve for x
    x = 64,288,533.45/8,123.78
  6. Step 6: Final answer
    x = 7,913.62

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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.