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Finding the Fourth Proportional to 8,261.32, 12,392.36 and 2,639.58

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Solution

The fourth proportional to 8,261.32, 12,392.36 and 2,639.58 is: 3,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.32 : 12,392.36 = 2,639.58 : x
  2. Step 2: Convert to fraction form
    8,261.32/12,392.36 = 2,639.58/x
  3. Step 3: Cross multiply
    8,261.32x = 12,392.36 × 2,639.58
  4. Step 4: Simplify right side
    8,261.32x = 32,710,625.61
  5. Step 5: Solve for x
    x = 32,710,625.61/8,261.32
  6. Step 6: Final answer
    x = 3,959.49

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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.