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Finding the Fourth Proportional to 11,754.30, 17,636.06 and 5,175.86

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Solution

The fourth proportional to 11,754.30, 17,636.06 and 5,175.86 is: 7,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.30 : 17,636.06 = 5,175.86 : x
  2. Step 2: Convert to fraction form
    11,754.30/17,636.06 = 5,175.86/x
  3. Step 3: Cross multiply
    11,754.30x = 17,636.06 × 5,175.86
  4. Step 4: Simplify right side
    11,754.30x = 91,281,777.51
  5. Step 5: Solve for x
    x = 91,281,777.51/11,754.30
  6. Step 6: Final answer
    x = 7,765.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.