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Finding the Fourth Proportional to 12,760.86, 17,611.18 and 7,726.30

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Solution

The fourth proportional to 12,760.86, 17,611.18 and 7,726.30 is: 10,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.86 : 17,611.18 = 7,726.30 : x
  2. Step 2: Convert to fraction form
    12,760.86/17,611.18 = 7,726.30/x
  3. Step 3: Cross multiply
    12,760.86x = 17,611.18 × 7,726.30
  4. Step 4: Simplify right side
    12,760.86x = 136,069,260.03
  5. Step 5: Solve for x
    x = 136,069,260.03/12,760.86
  6. Step 6: Final answer
    x = 10,663.02

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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.