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Finding the Fourth Proportional to 10,230.88, 14,118.06 and 5,755.36

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Solution

The fourth proportional to 10,230.88, 14,118.06 and 5,755.36 is: 7,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.88 : 14,118.06 = 5,755.36 : x
  2. Step 2: Convert to fraction form
    10,230.88/14,118.06 = 5,755.36/x
  3. Step 3: Cross multiply
    10,230.88x = 14,118.06 × 5,755.36
  4. Step 4: Simplify right side
    10,230.88x = 81,254,517.80
  5. Step 5: Solve for x
    x = 81,254,517.80/10,230.88
  6. Step 6: Final answer
    x = 7,942.08

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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.