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Finding the Fourth Proportional to 8,284.06, 12,422.16 and 3,015.34

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Solution

The fourth proportional to 8,284.06, 12,422.16 and 3,015.34 is: 4,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.06 : 12,422.16 = 3,015.34 : x
  2. Step 2: Convert to fraction form
    8,284.06/12,422.16 = 3,015.34/x
  3. Step 3: Cross multiply
    8,284.06x = 12,422.16 × 3,015.34
  4. Step 4: Simplify right side
    8,284.06x = 37,457,035.93
  5. Step 5: Solve for x
    x = 37,457,035.93/8,284.06
  6. Step 6: Final answer
    x = 4,521.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.