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Finding the Fourth Proportional to 11,811.96, 17,704.98 and 5,643

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Solution

The fourth proportional to 11,811.96, 17,704.98 and 5,643 is: 8,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.96 : 17,704.98 = 5,643 : x
  2. Step 2: Convert to fraction form
    11,811.96/17,704.98 = 5,643/x
  3. Step 3: Cross multiply
    11,811.96x = 17,704.98 × 5,643
  4. Step 4: Simplify right side
    11,811.96x = 99,909,202.14
  5. Step 5: Solve for x
    x = 99,909,202.14/11,811.96
  6. Step 6: Final answer
    x = 8,458.31

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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.