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Finding the Fourth Proportional to 12,611.30, 17,405.64 and 7,309.19

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Solution

The fourth proportional to 12,611.30, 17,405.64 and 7,309.19 is: 10,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.30 : 17,405.64 = 7,309.19 : x
  2. Step 2: Convert to fraction form
    12,611.30/17,405.64 = 7,309.19/x
  3. Step 3: Cross multiply
    12,611.30x = 17,405.64 × 7,309.19
  4. Step 4: Simplify right side
    12,611.30x = 127,221,173.35
  5. Step 5: Solve for x
    x = 127,221,173.35/12,611.30
  6. Step 6: Final answer
    x = 10,087.87

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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.