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Finding the Fourth Proportional to 10,003.94, 13,802.64 and 6,227.72

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Solution

The fourth proportional to 10,003.94, 13,802.64 and 6,227.72 is: 8,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.94 : 13,802.64 = 6,227.72 : x
  2. Step 2: Convert to fraction form
    10,003.94/13,802.64 = 6,227.72/x
  3. Step 3: Cross multiply
    10,003.94x = 13,802.64 × 6,227.72
  4. Step 4: Simplify right side
    10,003.94x = 85,958,977.18
  5. Step 5: Solve for x
    x = 85,958,977.18/10,003.94
  6. Step 6: Final answer
    x = 8,592.51

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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.