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Finding the Fourth Proportional to 10,296.46, 14,211.17 and 5,820.27

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Solution

The fourth proportional to 10,296.46, 14,211.17 and 5,820.27 is: 8,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.46 : 14,211.17 = 5,820.27 : x
  2. Step 2: Convert to fraction form
    10,296.46/14,211.17 = 5,820.27/x
  3. Step 3: Cross multiply
    10,296.46x = 14,211.17 × 5,820.27
  4. Step 4: Simplify right side
    10,296.46x = 82,712,846.42
  5. Step 5: Solve for x
    x = 82,712,846.42/10,296.46
  6. Step 6: Final answer
    x = 8,033.13

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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.