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Finding the Fourth Proportional to 8,896.77, 13,340.57 and 5,200.07

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Solution

The fourth proportional to 8,896.77, 13,340.57 and 5,200.07 is: 7,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.77 : 13,340.57 = 5,200.07 : x
  2. Step 2: Convert to fraction form
    8,896.77/13,340.57 = 5,200.07/x
  3. Step 3: Cross multiply
    8,896.77x = 13,340.57 × 5,200.07
  4. Step 4: Simplify right side
    8,896.77x = 69,371,805.14
  5. Step 5: Solve for x
    x = 69,371,805.14/8,896.77
  6. Step 6: Final answer
    x = 7,797.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.