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Finding the Fourth Proportional to 6,776.76, 10,165.70 and 3,492.21

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Solution

The fourth proportional to 6,776.76, 10,165.70 and 3,492.21 is: 5,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.76 : 10,165.70 = 3,492.21 : x
  2. Step 2: Convert to fraction form
    6,776.76/10,165.70 = 3,492.21/x
  3. Step 3: Cross multiply
    6,776.76x = 10,165.70 × 3,492.21
  4. Step 4: Simplify right side
    6,776.76x = 35,500,806.05
  5. Step 5: Solve for x
    x = 35,500,806.05/6,776.76
  6. Step 6: Final answer
    x = 5,238.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.