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Finding the Fourth Proportional to 10,000.44, 13,803.27 and 6,221.46

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Solution

The fourth proportional to 10,000.44, 13,803.27 and 6,221.46 is: 8,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.44 : 13,803.27 = 6,221.46 : x
  2. Step 2: Convert to fraction form
    10,000.44/13,803.27 = 6,221.46/x
  3. Step 3: Cross multiply
    10,000.44x = 13,803.27 × 6,221.46
  4. Step 4: Simplify right side
    10,000.44x = 85,876,461.07
  5. Step 5: Solve for x
    x = 85,876,461.07/10,000.44
  6. Step 6: Final answer
    x = 8,587.27

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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.