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Finding the Fourth Proportional to 10,221, 14,104.98 and 5,744.70

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Solution

The fourth proportional to 10,221, 14,104.98 and 5,744.70 is: 7,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221 : 14,104.98 = 5,744.70 : x
  2. Step 2: Convert to fraction form
    10,221/14,104.98 = 5,744.70/x
  3. Step 3: Cross multiply
    10,221x = 14,104.98 × 5,744.70
  4. Step 4: Simplify right side
    10,221x = 81,028,878.61
  5. Step 5: Solve for x
    x = 81,028,878.61/10,221
  6. Step 6: Final answer
    x = 7,927.69

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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.