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Finding the Fourth Proportional to 10,016.14, 13,823.48 and 5,824.39

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Solution

The fourth proportional to 10,016.14, 13,823.48 and 5,824.39 is: 8,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.14 : 13,823.48 = 5,824.39 : x
  2. Step 2: Convert to fraction form
    10,016.14/13,823.48 = 5,824.39/x
  3. Step 3: Cross multiply
    10,016.14x = 13,823.48 × 5,824.39
  4. Step 4: Simplify right side
    10,016.14x = 80,513,338.68
  5. Step 5: Solve for x
    x = 80,513,338.68/10,016.14
  6. Step 6: Final answer
    x = 8,038.36

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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.