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Finding the Fourth Proportional to 10,299.23, 14,213.66 and 5,823.02

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Solution

The fourth proportional to 10,299.23, 14,213.66 and 5,823.02 is: 8,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.23 : 14,213.66 = 5,823.02 : x
  2. Step 2: Convert to fraction form
    10,299.23/14,213.66 = 5,823.02/x
  3. Step 3: Cross multiply
    10,299.23x = 14,213.66 × 5,823.02
  4. Step 4: Simplify right side
    10,299.23x = 82,766,476.54
  5. Step 5: Solve for x
    x = 82,766,476.54/10,299.23
  6. Step 6: Final answer
    x = 8,036.18

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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.