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Finding the Fourth Proportional to 12,410.46, 17,125.97 and 7,105.77

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Solution

The fourth proportional to 12,410.46, 17,125.97 and 7,105.77 is: 9,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.46 : 17,125.97 = 7,105.77 : x
  2. Step 2: Convert to fraction form
    12,410.46/17,125.97 = 7,105.77/x
  3. Step 3: Cross multiply
    12,410.46x = 17,125.97 × 7,105.77
  4. Step 4: Simplify right side
    12,410.46x = 121,693,168.32
  5. Step 5: Solve for x
    x = 121,693,168.32/12,410.46
  6. Step 6: Final answer
    x = 9,805.69

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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.