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Finding the Fourth Proportional to 7,847.35, 10,830.04 and 4,489.49

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Solution

The fourth proportional to 7,847.35, 10,830.04 and 4,489.49 is: 6,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.35 : 10,830.04 = 4,489.49 : x
  2. Step 2: Convert to fraction form
    7,847.35/10,830.04 = 4,489.49/x
  3. Step 3: Cross multiply
    7,847.35x = 10,830.04 × 4,489.49
  4. Step 4: Simplify right side
    7,847.35x = 48,621,372.13
  5. Step 5: Solve for x
    x = 48,621,372.13/7,847.35
  6. Step 6: Final answer
    x = 6,195.90

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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.