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Finding the Fourth Proportional to 10,264.98, 14,173.70 and 8,033.22

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Solution

The fourth proportional to 10,264.98, 14,173.70 and 8,033.22 is: 11,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.98 : 14,173.70 = 8,033.22 : x
  2. Step 2: Convert to fraction form
    10,264.98/14,173.70 = 8,033.22/x
  3. Step 3: Cross multiply
    10,264.98x = 14,173.70 × 8,033.22
  4. Step 4: Simplify right side
    10,264.98x = 113,860,410.15
  5. Step 5: Solve for x
    x = 113,860,410.15/10,264.98
  6. Step 6: Final answer
    x = 11,092.12

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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.