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Finding the Fourth Proportional to 11,164.24, 15,406.78 and 6,128.44

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Solution

The fourth proportional to 11,164.24, 15,406.78 and 6,128.44 is: 8,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.24 : 15,406.78 = 6,128.44 : x
  2. Step 2: Convert to fraction form
    11,164.24/15,406.78 = 6,128.44/x
  3. Step 3: Cross multiply
    11,164.24x = 15,406.78 × 6,128.44
  4. Step 4: Simplify right side
    11,164.24x = 94,419,526.82
  5. Step 5: Solve for x
    x = 94,419,526.82/11,164.24
  6. Step 6: Final answer
    x = 8,457.32

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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.