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Finding the Fourth Proportional to 10,977.81, 16,476.03 and 5,437.41

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Solution

The fourth proportional to 10,977.81, 16,476.03 and 5,437.41 is: 8,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.81 : 16,476.03 = 5,437.41 : x
  2. Step 2: Convert to fraction form
    10,977.81/16,476.03 = 5,437.41/x
  3. Step 3: Cross multiply
    10,977.81x = 16,476.03 × 5,437.41
  4. Step 4: Simplify right side
    10,977.81x = 89,586,930.28
  5. Step 5: Solve for x
    x = 89,586,930.28/10,977.81
  6. Step 6: Final answer
    x = 8,160.73

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Why These Related Problems?

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