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Finding the Fourth Proportional to 6,999.87, 10,478.08 and 5,234.47

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Solution

The fourth proportional to 6,999.87, 10,478.08 and 5,234.47 is: 7,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.87 : 10,478.08 = 5,234.47 : x
  2. Step 2: Convert to fraction form
    6,999.87/10,478.08 = 5,234.47/x
  3. Step 3: Cross multiply
    6,999.87x = 10,478.08 × 5,234.47
  4. Step 4: Simplify right side
    6,999.87x = 54,847,195.42
  5. Step 5: Solve for x
    x = 54,847,195.42/6,999.87
  6. Step 6: Final answer
    x = 7,835.46

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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.