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Finding the Fourth Proportional to 10,902.69, 16,356.47 and 3,977.19

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Solution

The fourth proportional to 10,902.69, 16,356.47 and 3,977.19 is: 5,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.69 : 16,356.47 = 3,977.19 : x
  2. Step 2: Convert to fraction form
    10,902.69/16,356.47 = 3,977.19/x
  3. Step 3: Cross multiply
    10,902.69x = 16,356.47 × 3,977.19
  4. Step 4: Simplify right side
    10,902.69x = 65,052,788.92
  5. Step 5: Solve for x
    x = 65,052,788.92/10,902.69
  6. Step 6: Final answer
    x = 5,966.67

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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.