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Finding the Fourth Proportional to 11,643.10, 17,468.75 and 5,068.43

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Solution

The fourth proportional to 11,643.10, 17,468.75 and 5,068.43 is: 7,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.10 : 17,468.75 = 5,068.43 : x
  2. Step 2: Convert to fraction form
    11,643.10/17,468.75 = 5,068.43/x
  3. Step 3: Cross multiply
    11,643.10x = 17,468.75 × 5,068.43
  4. Step 4: Simplify right side
    11,643.10x = 88,539,023.88
  5. Step 5: Solve for x
    x = 88,539,023.88/11,643.10
  6. Step 6: Final answer
    x = 7,604.42

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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.