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Finding the Fourth Proportional to 11,616.36, 16,005.54 and 7,883.88

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Solution

The fourth proportional to 11,616.36, 16,005.54 and 7,883.88 is: 10,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.36 : 16,005.54 = 7,883.88 : x
  2. Step 2: Convert to fraction form
    11,616.36/16,005.54 = 7,883.88/x
  3. Step 3: Cross multiply
    11,616.36x = 16,005.54 × 7,883.88
  4. Step 4: Simplify right side
    11,616.36x = 126,185,756.70
  5. Step 5: Solve for x
    x = 126,185,756.70/11,616.36
  6. Step 6: Final answer
    x = 10,862.76

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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.