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Finding the Fourth Proportional to 8,133.82, 11,224.68 and 4,407.82

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Solution

The fourth proportional to 8,133.82, 11,224.68 and 4,407.82 is: 6,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.82 : 11,224.68 = 4,407.82 : x
  2. Step 2: Convert to fraction form
    8,133.82/11,224.68 = 4,407.82/x
  3. Step 3: Cross multiply
    8,133.82x = 11,224.68 × 4,407.82
  4. Step 4: Simplify right side
    8,133.82x = 49,476,369.00
  5. Step 5: Solve for x
    x = 49,476,369.00/8,133.82
  6. Step 6: Final answer
    x = 6,082.80

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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.