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Finding the Fourth Proportional to 10,344.91, 14,276.12 and 5,629.19

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Solution

The fourth proportional to 10,344.91, 14,276.12 and 5,629.19 is: 7,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.91 : 14,276.12 = 5,629.19 : x
  2. Step 2: Convert to fraction form
    10,344.91/14,276.12 = 5,629.19/x
  3. Step 3: Cross multiply
    10,344.91x = 14,276.12 × 5,629.19
  4. Step 4: Simplify right side
    10,344.91x = 80,362,991.94
  5. Step 5: Solve for x
    x = 80,362,991.94/10,344.91
  6. Step 6: Final answer
    x = 7,768.36

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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.