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Finding the Fourth Proportional to 8,649.44, 11,932.08 and 5,663.96

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Solution

The fourth proportional to 8,649.44, 11,932.08 and 5,663.96 is: 7,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.44 : 11,932.08 = 5,663.96 : x
  2. Step 2: Convert to fraction form
    8,649.44/11,932.08 = 5,663.96/x
  3. Step 3: Cross multiply
    8,649.44x = 11,932.08 × 5,663.96
  4. Step 4: Simplify right side
    8,649.44x = 67,582,823.84
  5. Step 5: Solve for x
    x = 67,582,823.84/8,649.44
  6. Step 6: Final answer
    x = 7,813.55

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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.