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Finding the Fourth Proportional to 10,098.33, 13,936.14 and 5,621.91

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Solution

The fourth proportional to 10,098.33, 13,936.14 and 5,621.91 is: 7,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.33 : 13,936.14 = 5,621.91 : x
  2. Step 2: Convert to fraction form
    10,098.33/13,936.14 = 5,621.91/x
  3. Step 3: Cross multiply
    10,098.33x = 13,936.14 × 5,621.91
  4. Step 4: Simplify right side
    10,098.33x = 78,347,724.83
  5. Step 5: Solve for x
    x = 78,347,724.83/10,098.33
  6. Step 6: Final answer
    x = 7,758.48

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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.