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Finding the Fourth Proportional to 7,492.82, 10,327.89 and 5,998.10

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Solution

The fourth proportional to 7,492.82, 10,327.89 and 5,998.10 is: 8,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.82 : 10,327.89 = 5,998.10 : x
  2. Step 2: Convert to fraction form
    7,492.82/10,327.89 = 5,998.10/x
  3. Step 3: Cross multiply
    7,492.82x = 10,327.89 × 5,998.10
  4. Step 4: Simplify right side
    7,492.82x = 61,947,717.01
  5. Step 5: Solve for x
    x = 61,947,717.01/7,492.82
  6. Step 6: Final answer
    x = 8,267.61

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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.