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Finding the Fourth Proportional to 8,258.59, 11,396.90 and 4,481.76

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Solution

The fourth proportional to 8,258.59, 11,396.90 and 4,481.76 is: 6,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.59 : 11,396.90 = 4,481.76 : x
  2. Step 2: Convert to fraction form
    8,258.59/11,396.90 = 4,481.76/x
  3. Step 3: Cross multiply
    8,258.59x = 11,396.90 × 4,481.76
  4. Step 4: Simplify right side
    8,258.59x = 51,078,224.49
  5. Step 5: Solve for x
    x = 51,078,224.49/8,258.59
  6. Step 6: Final answer
    x = 6,184.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.