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Finding the Fourth Proportional to 8,133.85, 11,224.73 and 4,407.85

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Solution

The fourth proportional to 8,133.85, 11,224.73 and 4,407.85 is: 6,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.85 : 11,224.73 = 4,407.85 : x
  2. Step 2: Convert to fraction form
    8,133.85/11,224.73 = 4,407.85/x
  3. Step 3: Cross multiply
    8,133.85x = 11,224.73 × 4,407.85
  4. Step 4: Simplify right side
    8,133.85x = 49,476,876.03
  5. Step 5: Solve for x
    x = 49,476,876.03/8,133.85
  6. Step 6: Final answer
    x = 6,082.84

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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.