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Finding the Fourth Proportional to 8,013.77, 11,059.49 and 4,477.24

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Solution

The fourth proportional to 8,013.77, 11,059.49 and 4,477.24 is: 6,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.77 : 11,059.49 = 4,477.24 : x
  2. Step 2: Convert to fraction form
    8,013.77/11,059.49 = 4,477.24/x
  3. Step 3: Cross multiply
    8,013.77x = 11,059.49 × 4,477.24
  4. Step 4: Simplify right side
    8,013.77x = 49,515,991.01
  5. Step 5: Solve for x
    x = 49,515,991.01/8,013.77
  6. Step 6: Final answer
    x = 6,178.86

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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.