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Finding the Fourth Proportional to 10,195.46, 14,069.76 and 5,949.44

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Solution

The fourth proportional to 10,195.46, 14,069.76 and 5,949.44 is: 8,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.46 : 14,069.76 = 5,949.44 : x
  2. Step 2: Convert to fraction form
    10,195.46/14,069.76 = 5,949.44/x
  3. Step 3: Cross multiply
    10,195.46x = 14,069.76 × 5,949.44
  4. Step 4: Simplify right side
    10,195.46x = 83,707,153.04
  5. Step 5: Solve for x
    x = 83,707,153.04/10,195.46
  6. Step 6: Final answer
    x = 8,210.24

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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.