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Finding the Fourth Proportional to 10,231.72, 14,118.30 and 5,755.30

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Solution

The fourth proportional to 10,231.72, 14,118.30 and 5,755.30 is: 7,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.72 : 14,118.30 = 5,755.30 : x
  2. Step 2: Convert to fraction form
    10,231.72/14,118.30 = 5,755.30/x
  3. Step 3: Cross multiply
    10,231.72x = 14,118.30 × 5,755.30
  4. Step 4: Simplify right side
    10,231.72x = 81,255,051.99
  5. Step 5: Solve for x
    x = 81,255,051.99/10,231.72
  6. Step 6: Final answer
    x = 7,941.49

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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.