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Finding the Fourth Proportional to 8,101.30, 11,180.02 and 4,564.64

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Solution

The fourth proportional to 8,101.30, 11,180.02 and 4,564.64 is: 6,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.30 : 11,180.02 = 4,564.64 : x
  2. Step 2: Convert to fraction form
    8,101.30/11,180.02 = 4,564.64/x
  3. Step 3: Cross multiply
    8,101.30x = 11,180.02 × 4,564.64
  4. Step 4: Simplify right side
    8,101.30x = 51,032,766.49
  5. Step 5: Solve for x
    x = 51,032,766.49/8,101.30
  6. Step 6: Final answer
    x = 6,299.33

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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.