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Finding the Fourth Proportional to 8,409.06, 11,607.30 and 5,764.14

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Solution

The fourth proportional to 8,409.06, 11,607.30 and 5,764.14 is: 7,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.06 : 11,607.30 = 5,764.14 : x
  2. Step 2: Convert to fraction form
    8,409.06/11,607.30 = 5,764.14/x
  3. Step 3: Cross multiply
    8,409.06x = 11,607.30 × 5,764.14
  4. Step 4: Simplify right side
    8,409.06x = 66,906,102.22
  5. Step 5: Solve for x
    x = 66,906,102.22/8,409.06
  6. Step 6: Final answer
    x = 7,956.43

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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.