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Finding the Fourth Proportional to 8,772.36, 13,163.40 and 8,111.40

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Solution

The fourth proportional to 8,772.36, 13,163.40 and 8,111.40 is: 12,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.36 : 13,163.40 = 8,111.40 : x
  2. Step 2: Convert to fraction form
    8,772.36/13,163.40 = 8,111.40/x
  3. Step 3: Cross multiply
    8,772.36x = 13,163.40 × 8,111.40
  4. Step 4: Simplify right side
    8,772.36x = 106,773,602.76
  5. Step 5: Solve for x
    x = 106,773,602.76/8,772.36
  6. Step 6: Final answer
    x = 12,171.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.