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Finding the Fourth Proportional to 12,411.85, 17,126.42 and 7,105.64

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Solution

The fourth proportional to 12,411.85, 17,126.42 and 7,105.64 is: 9,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.85 : 17,126.42 = 7,105.64 : x
  2. Step 2: Convert to fraction form
    12,411.85/17,126.42 = 7,105.64/x
  3. Step 3: Cross multiply
    12,411.85x = 17,126.42 × 7,105.64
  4. Step 4: Simplify right side
    12,411.85x = 121,694,190.15
  5. Step 5: Solve for x
    x = 121,694,190.15/12,411.85
  6. Step 6: Final answer
    x = 9,804.68

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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.