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Finding the Fourth Proportional to 10,172.88, 14,039.82 and 6,194.57

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Solution

The fourth proportional to 10,172.88, 14,039.82 and 6,194.57 is: 8,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.88 : 14,039.82 = 6,194.57 : x
  2. Step 2: Convert to fraction form
    10,172.88/14,039.82 = 6,194.57/x
  3. Step 3: Cross multiply
    10,172.88x = 14,039.82 × 6,194.57
  4. Step 4: Simplify right side
    10,172.88x = 86,970,577.58
  5. Step 5: Solve for x
    x = 86,970,577.58/10,172.88
  6. Step 6: Final answer
    x = 8,549.26

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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.