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Finding the Fourth Proportional to 8,847.70, 13,279.75 and 4,468.23

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Solution

The fourth proportional to 8,847.70, 13,279.75 and 4,468.23 is: 6,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.70 : 13,279.75 = 4,468.23 : x
  2. Step 2: Convert to fraction form
    8,847.70/13,279.75 = 4,468.23/x
  3. Step 3: Cross multiply
    8,847.70x = 13,279.75 × 4,468.23
  4. Step 4: Simplify right side
    8,847.70x = 59,336,966.17
  5. Step 5: Solve for x
    x = 59,336,966.17/8,847.70
  6. Step 6: Final answer
    x = 6,706.49

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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.