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Finding the Fourth Proportional to 10,016.82, 13,822.74 and 5,479.40

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Solution

The fourth proportional to 10,016.82, 13,822.74 and 5,479.40 is: 7,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.82 : 13,822.74 = 5,479.40 : x
  2. Step 2: Convert to fraction form
    10,016.82/13,822.74 = 5,479.40/x
  3. Step 3: Cross multiply
    10,016.82x = 13,822.74 × 5,479.40
  4. Step 4: Simplify right side
    10,016.82x = 75,740,356.11
  5. Step 5: Solve for x
    x = 75,740,356.11/10,016.82
  6. Step 6: Final answer
    x = 7,561.32

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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.