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Finding the Fourth Proportional to 11,340.99, 15,652.29 and 8,164.80

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Solution

The fourth proportional to 11,340.99, 15,652.29 and 8,164.80 is: 11,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.99 : 15,652.29 = 8,164.80 : x
  2. Step 2: Convert to fraction form
    11,340.99/15,652.29 = 8,164.80/x
  3. Step 3: Cross multiply
    11,340.99x = 15,652.29 × 8,164.80
  4. Step 4: Simplify right side
    11,340.99x = 127,797,817.39
  5. Step 5: Solve for x
    x = 127,797,817.39/11,340.99
  6. Step 6: Final answer
    x = 11,268.67

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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.