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Finding the Fourth Proportional to 11,480.64, 17,218.67 and 3,158.50

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Solution

The fourth proportional to 11,480.64, 17,218.67 and 3,158.50 is: 4,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.64 : 17,218.67 = 3,158.50 : x
  2. Step 2: Convert to fraction form
    11,480.64/17,218.67 = 3,158.50/x
  3. Step 3: Cross multiply
    11,480.64x = 17,218.67 × 3,158.50
  4. Step 4: Simplify right side
    11,480.64x = 54,385,169.20
  5. Step 5: Solve for x
    x = 54,385,169.20/11,480.64
  6. Step 6: Final answer
    x = 4,737.12

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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.