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Finding the Fourth Proportional to 10,888.14, 16,331.86 and 3,096.95

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Solution

The fourth proportional to 10,888.14, 16,331.86 and 3,096.95 is: 4,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.14 : 16,331.86 = 3,096.95 : x
  2. Step 2: Convert to fraction form
    10,888.14/16,331.86 = 3,096.95/x
  3. Step 3: Cross multiply
    10,888.14x = 16,331.86 × 3,096.95
  4. Step 4: Simplify right side
    10,888.14x = 50,578,953.83
  5. Step 5: Solve for x
    x = 50,578,953.83/10,888.14
  6. Step 6: Final answer
    x = 4,645.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.