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Finding the Fourth Proportional to 6,861.04, 10,269.01 and 5,208.49

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Solution

The fourth proportional to 6,861.04, 10,269.01 and 5,208.49 is: 7,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.04 : 10,269.01 = 5,208.49 : x
  2. Step 2: Convert to fraction form
    6,861.04/10,269.01 = 5,208.49/x
  3. Step 3: Cross multiply
    6,861.04x = 10,269.01 × 5,208.49
  4. Step 4: Simplify right side
    6,861.04x = 53,486,035.89
  5. Step 5: Solve for x
    x = 53,486,035.89/6,861.04
  6. Step 6: Final answer
    x = 7,795.62

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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.