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Finding the Fourth Proportional to 6,105.12, 8,410.68 and 5,035.92

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Solution

The fourth proportional to 6,105.12, 8,410.68 and 5,035.92 is: 6,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.12 : 8,410.68 = 5,035.92 : x
  2. Step 2: Convert to fraction form
    6,105.12/8,410.68 = 5,035.92/x
  3. Step 3: Cross multiply
    6,105.12x = 8,410.68 × 5,035.92
  4. Step 4: Simplify right side
    6,105.12x = 42,355,511.63
  5. Step 5: Solve for x
    x = 42,355,511.63/6,105.12
  6. Step 6: Final answer
    x = 6,937.70

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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.