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Finding the Fourth Proportional to 8,811, 12,160.26 and 5,085

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Solution

The fourth proportional to 8,811, 12,160.26 and 5,085 is: 7,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811 : 12,160.26 = 5,085 : x
  2. Step 2: Convert to fraction form
    8,811/12,160.26 = 5,085/x
  3. Step 3: Cross multiply
    8,811x = 12,160.26 × 5,085
  4. Step 4: Simplify right side
    8,811x = 61,834,922.10
  5. Step 5: Solve for x
    x = 61,834,922.10/8,811
  6. Step 6: Final answer
    x = 7,017.92

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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.