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Finding the Fourth Proportional to 8,284.84, 11,433.13 and 4,508.03

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Solution

The fourth proportional to 8,284.84, 11,433.13 and 4,508.03 is: 6,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.84 : 11,433.13 = 4,508.03 : x
  2. Step 2: Convert to fraction form
    8,284.84/11,433.13 = 4,508.03/x
  3. Step 3: Cross multiply
    8,284.84x = 11,433.13 × 4,508.03
  4. Step 4: Simplify right side
    8,284.84x = 51,540,893.03
  5. Step 5: Solve for x
    x = 51,540,893.03/8,284.84
  6. Step 6: Final answer
    x = 6,221.11

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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.