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Finding the Fourth Proportional to 10,299.79, 14,213.56 and 5,823.39

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Solution

The fourth proportional to 10,299.79, 14,213.56 and 5,823.39 is: 8,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.79 : 14,213.56 = 5,823.39 : x
  2. Step 2: Convert to fraction form
    10,299.79/14,213.56 = 5,823.39/x
  3. Step 3: Cross multiply
    10,299.79x = 14,213.56 × 5,823.39
  4. Step 4: Simplify right side
    10,299.79x = 82,771,103.17
  5. Step 5: Solve for x
    x = 82,771,103.17/10,299.79
  6. Step 6: Final answer
    x = 8,036.19

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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.