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Finding the Fourth Proportional to 8,188.60, 11,300.26 and 4,462.60

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Solution

The fourth proportional to 8,188.60, 11,300.26 and 4,462.60 is: 6,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.60 : 11,300.26 = 4,462.60 : x
  2. Step 2: Convert to fraction form
    8,188.60/11,300.26 = 4,462.60/x
  3. Step 3: Cross multiply
    8,188.60x = 11,300.26 × 4,462.60
  4. Step 4: Simplify right side
    8,188.60x = 50,428,540.28
  5. Step 5: Solve for x
    x = 50,428,540.28/8,188.60
  6. Step 6: Final answer
    x = 6,158.38

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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.