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Finding the Fourth Proportional to 8,627.66, 12,935.32 and 4,180.52

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Solution

The fourth proportional to 8,627.66, 12,935.32 and 4,180.52 is: 6,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.66 : 12,935.32 = 4,180.52 : x
  2. Step 2: Convert to fraction form
    8,627.66/12,935.32 = 4,180.52/x
  3. Step 3: Cross multiply
    8,627.66x = 12,935.32 × 4,180.52
  4. Step 4: Simplify right side
    8,627.66x = 54,076,363.97
  5. Step 5: Solve for x
    x = 54,076,363.97/8,627.66
  6. Step 6: Final answer
    x = 6,267.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.