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Finding the Fourth Proportional to 10,003.72, 13,807.92 and 5,812.78

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Solution

The fourth proportional to 10,003.72, 13,807.92 and 5,812.78 is: 8,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.72 : 13,807.92 = 5,812.78 : x
  2. Step 2: Convert to fraction form
    10,003.72/13,807.92 = 5,812.78/x
  3. Step 3: Cross multiply
    10,003.72x = 13,807.92 × 5,812.78
  4. Step 4: Simplify right side
    10,003.72x = 80,262,401.22
  5. Step 5: Solve for x
    x = 80,262,401.22/10,003.72
  6. Step 6: Final answer
    x = 8,023.26

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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.