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Finding the Fourth Proportional to 8,266.37, 11,407.64 and 4,489.61

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Solution

The fourth proportional to 8,266.37, 11,407.64 and 4,489.61 is: 6,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.37 : 11,407.64 = 4,489.61 : x
  2. Step 2: Convert to fraction form
    8,266.37/11,407.64 = 4,489.61/x
  3. Step 3: Cross multiply
    8,266.37x = 11,407.64 × 4,489.61
  4. Step 4: Simplify right side
    8,266.37x = 51,215,775.13
  5. Step 5: Solve for x
    x = 51,215,775.13/8,266.37
  6. Step 6: Final answer
    x = 6,195.68

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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.