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Finding the Fourth Proportional to 10,214.50, 14,095.74 and 5,738.74

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Solution

The fourth proportional to 10,214.50, 14,095.74 and 5,738.74 is: 7,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.50 : 14,095.74 = 5,738.74 : x
  2. Step 2: Convert to fraction form
    10,214.50/14,095.74 = 5,738.74/x
  3. Step 3: Cross multiply
    10,214.50x = 14,095.74 × 5,738.74
  4. Step 4: Simplify right side
    10,214.50x = 80,891,786.97
  5. Step 5: Solve for x
    x = 80,891,786.97/10,214.50
  6. Step 6: Final answer
    x = 7,919.31

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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.