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Finding the Fourth Proportional to 8,195.37, 11,310.57 and 4,659.12

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Solution

The fourth proportional to 8,195.37, 11,310.57 and 4,659.12 is: 6,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.37 : 11,310.57 = 4,659.12 : x
  2. Step 2: Convert to fraction form
    8,195.37/11,310.57 = 4,659.12/x
  3. Step 3: Cross multiply
    8,195.37x = 11,310.57 × 4,659.12
  4. Step 4: Simplify right side
    8,195.37x = 52,697,302.90
  5. Step 5: Solve for x
    x = 52,697,302.90/8,195.37
  6. Step 6: Final answer
    x = 6,430.13

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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.