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Finding the Fourth Proportional to 6,776.10, 10,164.02 and 3,487.26

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Solution

The fourth proportional to 6,776.10, 10,164.02 and 3,487.26 is: 5,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.10 : 10,164.02 = 3,487.26 : x
  2. Step 2: Convert to fraction form
    6,776.10/10,164.02 = 3,487.26/x
  3. Step 3: Cross multiply
    6,776.10x = 10,164.02 × 3,487.26
  4. Step 4: Simplify right side
    6,776.10x = 35,444,580.39
  5. Step 5: Solve for x
    x = 35,444,580.39/6,776.10
  6. Step 6: Final answer
    x = 5,230.82

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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.