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Finding the Fourth Proportional to 8,258.64, 11,397 and 4,481.80

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Solution

The fourth proportional to 8,258.64, 11,397 and 4,481.80 is: 6,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.64 : 11,397 = 4,481.80 : x
  2. Step 2: Convert to fraction form
    8,258.64/11,397 = 4,481.80/x
  3. Step 3: Cross multiply
    8,258.64x = 11,397 × 4,481.80
  4. Step 4: Simplify right side
    8,258.64x = 51,079,074.60
  5. Step 5: Solve for x
    x = 51,079,074.60/8,258.64
  6. Step 6: Final answer
    x = 6,184.93

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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.