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Finding the Fourth Proportional to 7,834.01, 10,809.19 and 4,475.75

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Solution

The fourth proportional to 7,834.01, 10,809.19 and 4,475.75 is: 6,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.01 : 10,809.19 = 4,475.75 : x
  2. Step 2: Convert to fraction form
    7,834.01/10,809.19 = 4,475.75/x
  3. Step 3: Cross multiply
    7,834.01x = 10,809.19 × 4,475.75
  4. Step 4: Simplify right side
    7,834.01x = 48,379,232.14
  5. Step 5: Solve for x
    x = 48,379,232.14/7,834.01
  6. Step 6: Final answer
    x = 6,175.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.