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Finding the Fourth Proportional to 11,474.64, 17,212.14 and 4,455.06

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Solution

The fourth proportional to 11,474.64, 17,212.14 and 4,455.06 is: 6,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.64 : 17,212.14 = 4,455.06 : x
  2. Step 2: Convert to fraction form
    11,474.64/17,212.14 = 4,455.06/x
  3. Step 3: Cross multiply
    11,474.64x = 17,212.14 × 4,455.06
  4. Step 4: Simplify right side
    11,474.64x = 76,681,116.43
  5. Step 5: Solve for x
    x = 76,681,116.43/11,474.64
  6. Step 6: Final answer
    x = 6,682.66

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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.