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Finding the Fourth Proportional to 10,773.76, 16,158.81 and 2,980.75

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Solution

The fourth proportional to 10,773.76, 16,158.81 and 2,980.75 is: 4,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.76 : 16,158.81 = 2,980.75 : x
  2. Step 2: Convert to fraction form
    10,773.76/16,158.81 = 2,980.75/x
  3. Step 3: Cross multiply
    10,773.76x = 16,158.81 × 2,980.75
  4. Step 4: Simplify right side
    10,773.76x = 48,165,372.91
  5. Step 5: Solve for x
    x = 48,165,372.91/10,773.76
  6. Step 6: Final answer
    x = 4,470.62

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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.