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Finding the Fourth Proportional to 10,092.84, 13,924.80 and 6,112.44

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Solution

The fourth proportional to 10,092.84, 13,924.80 and 6,112.44 is: 8,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.84 : 13,924.80 = 6,112.44 : x
  2. Step 2: Convert to fraction form
    10,092.84/13,924.80 = 6,112.44/x
  3. Step 3: Cross multiply
    10,092.84x = 13,924.80 × 6,112.44
  4. Step 4: Simplify right side
    10,092.84x = 85,114,504.51
  5. Step 5: Solve for x
    x = 85,114,504.51/10,092.84
  6. Step 6: Final answer
    x = 8,433.16

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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.