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Finding the Fourth Proportional to 10,342.64, 14,273.16 and 5,626.64

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Solution

The fourth proportional to 10,342.64, 14,273.16 and 5,626.64 is: 7,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.64 : 14,273.16 = 5,626.64 : x
  2. Step 2: Convert to fraction form
    10,342.64/14,273.16 = 5,626.64/x
  3. Step 3: Cross multiply
    10,342.64x = 14,273.16 × 5,626.64
  4. Step 4: Simplify right side
    10,342.64x = 80,309,932.98
  5. Step 5: Solve for x
    x = 80,309,932.98/10,342.64
  6. Step 6: Final answer
    x = 7,764.94

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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.