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Finding the Fourth Proportional to 8,148.60, 11,245.06 and 4,422.60

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Solution

The fourth proportional to 8,148.60, 11,245.06 and 4,422.60 is: 6,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.60 : 11,245.06 = 4,422.60 : x
  2. Step 2: Convert to fraction form
    8,148.60/11,245.06 = 4,422.60/x
  3. Step 3: Cross multiply
    8,148.60x = 11,245.06 × 4,422.60
  4. Step 4: Simplify right side
    8,148.60x = 49,732,346.13
  5. Step 5: Solve for x
    x = 49,732,346.13/8,148.60
  6. Step 6: Final answer
    x = 6,103.18

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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.