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Finding the Fourth Proportional to 10,016.73, 13,823.10 and 5,479.47

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Solution

The fourth proportional to 10,016.73, 13,823.10 and 5,479.47 is: 7,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.73 : 13,823.10 = 5,479.47 : x
  2. Step 2: Convert to fraction form
    10,016.73/13,823.10 = 5,479.47/x
  3. Step 3: Cross multiply
    10,016.73x = 13,823.10 × 5,479.47
  4. Step 4: Simplify right side
    10,016.73x = 75,743,261.76
  5. Step 5: Solve for x
    x = 75,743,261.76/10,016.73
  6. Step 6: Final answer
    x = 7,561.68

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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.