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Finding the Fourth Proportional to 10,221, 14,104.92 and 5,744.76

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Solution

The fourth proportional to 10,221, 14,104.92 and 5,744.76 is: 7,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221 : 14,104.92 = 5,744.76 : x
  2. Step 2: Convert to fraction form
    10,221/14,104.92 = 5,744.76/x
  3. Step 3: Cross multiply
    10,221x = 14,104.92 × 5,744.76
  4. Step 4: Simplify right side
    10,221x = 81,029,380.22
  5. Step 5: Solve for x
    x = 81,029,380.22/10,221
  6. Step 6: Final answer
    x = 7,927.74

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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.