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Finding the Fourth Proportional to 8,670.90, 11,966.48 and 4,894.41

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Solution

The fourth proportional to 8,670.90, 11,966.48 and 4,894.41 is: 6,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.90 : 11,966.48 = 4,894.41 : x
  2. Step 2: Convert to fraction form
    8,670.90/11,966.48 = 4,894.41/x
  3. Step 3: Cross multiply
    8,670.90x = 11,966.48 × 4,894.41
  4. Step 4: Simplify right side
    8,670.90x = 58,568,824.70
  5. Step 5: Solve for x
    x = 58,568,824.70/8,670.90
  6. Step 6: Final answer
    x = 6,754.64

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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.