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Finding the Fourth Proportional to 8,140.16, 11,233.44 and 4,414.16

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Solution

The fourth proportional to 8,140.16, 11,233.44 and 4,414.16 is: 6,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.16 : 11,233.44 = 4,414.16 : x
  2. Step 2: Convert to fraction form
    8,140.16/11,233.44 = 4,414.16/x
  3. Step 3: Cross multiply
    8,140.16x = 11,233.44 × 4,414.16
  4. Step 4: Simplify right side
    8,140.16x = 49,586,201.51
  5. Step 5: Solve for x
    x = 49,586,201.51/8,140.16
  6. Step 6: Final answer
    x = 6,091.55

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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.