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Finding the Fourth Proportional to 11,612.52, 16,033.38 and 8,919.24

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Solution

The fourth proportional to 11,612.52, 16,033.38 and 8,919.24 is: 12,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.52 : 16,033.38 = 8,919.24 : x
  2. Step 2: Convert to fraction form
    11,612.52/16,033.38 = 8,919.24/x
  3. Step 3: Cross multiply
    11,612.52x = 16,033.38 × 8,919.24
  4. Step 4: Simplify right side
    11,612.52x = 143,005,564.23
  5. Step 5: Solve for x
    x = 143,005,564.23/11,612.52
  6. Step 6: Final answer
    x = 12,314.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.