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Finding the Fourth Proportional to 8,415.12, 11,612.38 and 5,057.31

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Solution

The fourth proportional to 8,415.12, 11,612.38 and 5,057.31 is: 6,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.12 : 11,612.38 = 5,057.31 : x
  2. Step 2: Convert to fraction form
    8,415.12/11,612.38 = 5,057.31/x
  3. Step 3: Cross multiply
    8,415.12x = 11,612.38 × 5,057.31
  4. Step 4: Simplify right side
    8,415.12x = 58,727,405.50
  5. Step 5: Solve for x
    x = 58,727,405.50/8,415.12
  6. Step 6: Final answer
    x = 6,978.80

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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.