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Finding the Fourth Proportional to 10,299.16, 14,211.28 and 5,822.68

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Solution

The fourth proportional to 10,299.16, 14,211.28 and 5,822.68 is: 8,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.16 : 14,211.28 = 5,822.68 : x
  2. Step 2: Convert to fraction form
    10,299.16/14,211.28 = 5,822.68/x
  3. Step 3: Cross multiply
    10,299.16x = 14,211.28 × 5,822.68
  4. Step 4: Simplify right side
    10,299.16x = 82,747,735.83
  5. Step 5: Solve for x
    x = 82,747,735.83/10,299.16
  6. Step 6: Final answer
    x = 8,034.42

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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.