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Finding the Fourth Proportional to 11,643.88, 17,462.56 and 4,716.76

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Solution

The fourth proportional to 11,643.88, 17,462.56 and 4,716.76 is: 7,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.88 : 17,462.56 = 4,716.76 : x
  2. Step 2: Convert to fraction form
    11,643.88/17,462.56 = 4,716.76/x
  3. Step 3: Cross multiply
    11,643.88x = 17,462.56 × 4,716.76
  4. Step 4: Simplify right side
    11,643.88x = 82,366,704.51
  5. Step 5: Solve for x
    x = 82,366,704.51/11,643.88
  6. Step 6: Final answer
    x = 7,073.82

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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.