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Finding the Fourth Proportional to 12,761, 17,607.60 and 7,454.79

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Solution

The fourth proportional to 12,761, 17,607.60 and 7,454.79 is: 10,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761 : 17,607.60 = 7,454.79 : x
  2. Step 2: Convert to fraction form
    12,761/17,607.60 = 7,454.79/x
  3. Step 3: Cross multiply
    12,761x = 17,607.60 × 7,454.79
  4. Step 4: Simplify right side
    12,761x = 131,260,960.40
  5. Step 5: Solve for x
    x = 131,260,960.40/12,761
  6. Step 6: Final answer
    x = 10,286.10

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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.