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Finding the Fourth Proportional to 6,861.17, 10,293.47 and 3,165.98

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Solution

The fourth proportional to 6,861.17, 10,293.47 and 3,165.98 is: 4,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.17 : 10,293.47 = 3,165.98 : x
  2. Step 2: Convert to fraction form
    6,861.17/10,293.47 = 3,165.98/x
  3. Step 3: Cross multiply
    6,861.17x = 10,293.47 × 3,165.98
  4. Step 4: Simplify right side
    6,861.17x = 32,588,852.85
  5. Step 5: Solve for x
    x = 32,588,852.85/6,861.17
  6. Step 6: Final answer
    x = 4,749.75

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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.