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Finding the Fourth Proportional to 8,258.53, 12,386.17 and 3,064.81

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Solution

The fourth proportional to 8,258.53, 12,386.17 and 3,064.81 is: 4,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.53 : 12,386.17 = 3,064.81 : x
  2. Step 2: Convert to fraction form
    8,258.53/12,386.17 = 3,064.81/x
  3. Step 3: Cross multiply
    8,258.53x = 12,386.17 × 3,064.81
  4. Step 4: Simplify right side
    8,258.53x = 37,961,257.68
  5. Step 5: Solve for x
    x = 37,961,257.68/8,258.53
  6. Step 6: Final answer
    x = 4,596.61

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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.