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Finding the Fourth Proportional to 7,834.38, 10,809.87 and 4,478.30

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Solution

The fourth proportional to 7,834.38, 10,809.87 and 4,478.30 is: 6,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.38 : 10,809.87 = 4,478.30 : x
  2. Step 2: Convert to fraction form
    7,834.38/10,809.87 = 4,478.30/x
  3. Step 3: Cross multiply
    7,834.38x = 10,809.87 × 4,478.30
  4. Step 4: Simplify right side
    7,834.38x = 48,409,840.82
  5. Step 5: Solve for x
    x = 48,409,840.82/7,834.38
  6. Step 6: Final answer
    x = 6,179.15

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Why These Related Problems?

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