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Finding the Fourth Proportional to 10,232.21, 14,118.99 and 5,755.79

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Solution

The fourth proportional to 10,232.21, 14,118.99 and 5,755.79 is: 7,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.21 : 14,118.99 = 5,755.79 : x
  2. Step 2: Convert to fraction form
    10,232.21/14,118.99 = 5,755.79/x
  3. Step 3: Cross multiply
    10,232.21x = 14,118.99 × 5,755.79
  4. Step 4: Simplify right side
    10,232.21x = 81,265,941.45
  5. Step 5: Solve for x
    x = 81,265,941.45/10,232.21
  6. Step 6: Final answer
    x = 7,942.17

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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.