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Finding the Fourth Proportional to 8,671.20, 11,966 and 4,894.50

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Solution

The fourth proportional to 8,671.20, 11,966 and 4,894.50 is: 6,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.20 : 11,966 = 4,894.50 : x
  2. Step 2: Convert to fraction form
    8,671.20/11,966 = 4,894.50/x
  3. Step 3: Cross multiply
    8,671.20x = 11,966 × 4,894.50
  4. Step 4: Simplify right side
    8,671.20x = 58,567,587
  5. Step 5: Solve for x
    x = 58,567,587/8,671.20
  6. Step 6: Final answer
    x = 6,754.27

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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.