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Finding the Fourth Proportional to 10,299.09, 14,209.39 and 5,822.40

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Solution

The fourth proportional to 10,299.09, 14,209.39 and 5,822.40 is: 8,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.09 : 14,209.39 = 5,822.40 : x
  2. Step 2: Convert to fraction form
    10,299.09/14,209.39 = 5,822.40/x
  3. Step 3: Cross multiply
    10,299.09x = 14,209.39 × 5,822.40
  4. Step 4: Simplify right side
    10,299.09x = 82,732,666.73
  5. Step 5: Solve for x
    x = 82,732,666.73/10,299.09
  6. Step 6: Final answer
    x = 8,033.01

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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.