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Finding the Fourth Proportional to 11,102.08, 15,304.98 and 6,850.30

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Solution

The fourth proportional to 11,102.08, 15,304.98 and 6,850.30 is: 9,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.08 : 15,304.98 = 6,850.30 : x
  2. Step 2: Convert to fraction form
    11,102.08/15,304.98 = 6,850.30/x
  3. Step 3: Cross multiply
    11,102.08x = 15,304.98 × 6,850.30
  4. Step 4: Simplify right side
    11,102.08x = 104,843,704.49
  5. Step 5: Solve for x
    x = 104,843,704.49/11,102.08
  6. Step 6: Final answer
    x = 9,443.61

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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.