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Finding the Fourth Proportional to 12,611.42, 17,406.06 and 7,306.76

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Solution

The fourth proportional to 12,611.42, 17,406.06 and 7,306.76 is: 10,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.42 : 17,406.06 = 7,306.76 : x
  2. Step 2: Convert to fraction form
    12,611.42/17,406.06 = 7,306.76/x
  3. Step 3: Cross multiply
    12,611.42x = 17,406.06 × 7,306.76
  4. Step 4: Simplify right side
    12,611.42x = 127,181,902.97
  5. Step 5: Solve for x
    x = 127,181,902.97/12,611.42
  6. Step 6: Final answer
    x = 10,084.66

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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.