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Finding the Fourth Proportional to 8,822.88, 12,180.78 and 5,637.96

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Solution

The fourth proportional to 8,822.88, 12,180.78 and 5,637.96 is: 7,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.88 : 12,180.78 = 5,637.96 : x
  2. Step 2: Convert to fraction form
    8,822.88/12,180.78 = 5,637.96/x
  3. Step 3: Cross multiply
    8,822.88x = 12,180.78 × 5,637.96
  4. Step 4: Simplify right side
    8,822.88x = 68,674,750.41
  5. Step 5: Solve for x
    x = 68,674,750.41/8,822.88
  6. Step 6: Final answer
    x = 7,783.71

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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.