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Finding the Fourth Proportional to 8,811.63, 12,159.84 and 5,667.82

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Solution

The fourth proportional to 8,811.63, 12,159.84 and 5,667.82 is: 7,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.63 : 12,159.84 = 5,667.82 : x
  2. Step 2: Convert to fraction form
    8,811.63/12,159.84 = 5,667.82/x
  3. Step 3: Cross multiply
    8,811.63x = 12,159.84 × 5,667.82
  4. Step 4: Simplify right side
    8,811.63x = 68,919,753.95
  5. Step 5: Solve for x
    x = 68,919,753.95/8,811.63
  6. Step 6: Final answer
    x = 7,821.45

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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.