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Finding the Fourth Proportional to 8,410.06, 11,608.68 and 5,765.14

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Solution

The fourth proportional to 8,410.06, 11,608.68 and 5,765.14 is: 7,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.06 : 11,608.68 = 5,765.14 : x
  2. Step 2: Convert to fraction form
    8,410.06/11,608.68 = 5,765.14/x
  3. Step 3: Cross multiply
    8,410.06x = 11,608.68 × 5,765.14
  4. Step 4: Simplify right side
    8,410.06x = 66,925,665.42
  5. Step 5: Solve for x
    x = 66,925,665.42/8,410.06
  6. Step 6: Final answer
    x = 7,957.81

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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.