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Finding the Fourth Proportional to 7,983.90, 11,018.12 and 4,447.11

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Solution

The fourth proportional to 7,983.90, 11,018.12 and 4,447.11 is: 6,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.90 : 11,018.12 = 4,447.11 : x
  2. Step 2: Convert to fraction form
    7,983.90/11,018.12 = 4,447.11/x
  3. Step 3: Cross multiply
    7,983.90x = 11,018.12 × 4,447.11
  4. Step 4: Simplify right side
    7,983.90x = 48,998,741.85
  5. Step 5: Solve for x
    x = 48,998,741.85/7,983.90
  6. Step 6: Final answer
    x = 6,137.20

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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.