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Finding the Fourth Proportional to 10,773.88, 16,159.02 and 2,983.48

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Solution

The fourth proportional to 10,773.88, 16,159.02 and 2,983.48 is: 4,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.88 : 16,159.02 = 2,983.48 : x
  2. Step 2: Convert to fraction form
    10,773.88/16,159.02 = 2,983.48/x
  3. Step 3: Cross multiply
    10,773.88x = 16,159.02 × 2,983.48
  4. Step 4: Simplify right side
    10,773.88x = 48,210,112.99
  5. Step 5: Solve for x
    x = 48,210,112.99/10,773.88
  6. Step 6: Final answer
    x = 4,474.72

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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.