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Finding the Fourth Proportional to 10,532.94, 14,535.39 and 5,817.21

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Solution

The fourth proportional to 10,532.94, 14,535.39 and 5,817.21 is: 8,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.94 : 14,535.39 = 5,817.21 : x
  2. Step 2: Convert to fraction form
    10,532.94/14,535.39 = 5,817.21/x
  3. Step 3: Cross multiply
    10,532.94x = 14,535.39 × 5,817.21
  4. Step 4: Simplify right side
    10,532.94x = 84,555,416.06
  5. Step 5: Solve for x
    x = 84,555,416.06/10,532.94
  6. Step 6: Final answer
    x = 8,027.71

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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.