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Finding the Fourth Proportional to 8,174.84, 11,277.78 and 6,399.32

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Solution

The fourth proportional to 8,174.84, 11,277.78 and 6,399.32 is: 8,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.84 : 11,277.78 = 6,399.32 : x
  2. Step 2: Convert to fraction form
    8,174.84/11,277.78 = 6,399.32/x
  3. Step 3: Cross multiply
    8,174.84x = 11,277.78 × 6,399.32
  4. Step 4: Simplify right side
    8,174.84x = 72,170,123.11
  5. Step 5: Solve for x
    x = 72,170,123.11/8,174.84
  6. Step 6: Final answer
    x = 8,828.32

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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.