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Finding the Fourth Proportional to 10,310.57, 14,228.50 and 5,834.28

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Solution

The fourth proportional to 10,310.57, 14,228.50 and 5,834.28 is: 8,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.57 : 14,228.50 = 5,834.28 : x
  2. Step 2: Convert to fraction form
    10,310.57/14,228.50 = 5,834.28/x
  3. Step 3: Cross multiply
    10,310.57x = 14,228.50 × 5,834.28
  4. Step 4: Simplify right side
    10,310.57x = 83,013,052.98
  5. Step 5: Solve for x
    x = 83,013,052.98/10,310.57
  6. Step 6: Final answer
    x = 8,051.26

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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.