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Finding the Fourth Proportional to 10,219.50, 14,102.91 and 5,743.17

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Solution

The fourth proportional to 10,219.50, 14,102.91 and 5,743.17 is: 7,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.50 : 14,102.91 = 5,743.17 : x
  2. Step 2: Convert to fraction form
    10,219.50/14,102.91 = 5,743.17/x
  3. Step 3: Cross multiply
    10,219.50x = 14,102.91 × 5,743.17
  4. Step 4: Simplify right side
    10,219.50x = 80,995,409.62
  5. Step 5: Solve for x
    x = 80,995,409.62/10,219.50
  6. Step 6: Final answer
    x = 7,925.57

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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.