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Finding the Fourth Proportional to 10,242.25, 14,137.13 and 5,994.20

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Solution

The fourth proportional to 10,242.25, 14,137.13 and 5,994.20 is: 8,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.25 : 14,137.13 = 5,994.20 : x
  2. Step 2: Convert to fraction form
    10,242.25/14,137.13 = 5,994.20/x
  3. Step 3: Cross multiply
    10,242.25x = 14,137.13 × 5,994.20
  4. Step 4: Simplify right side
    10,242.25x = 84,740,834.97
  5. Step 5: Solve for x
    x = 84,740,834.97/10,242.25
  6. Step 6: Final answer
    x = 8,273.66

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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.