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Finding the Fourth Proportional to 12,611.06, 17,401.16 and 8,140.74

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Solution

The fourth proportional to 12,611.06, 17,401.16 and 8,140.74 is: 11,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.06 : 17,401.16 = 8,140.74 : x
  2. Step 2: Convert to fraction form
    12,611.06/17,401.16 = 8,140.74/x
  3. Step 3: Cross multiply
    12,611.06x = 17,401.16 × 8,140.74
  4. Step 4: Simplify right side
    12,611.06x = 141,658,319.26
  5. Step 5: Solve for x
    x = 141,658,319.26/12,611.06
  6. Step 6: Final answer
    x = 11,232.86

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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.