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Finding the Fourth Proportional to 11,643.88, 16,068.48 and 6,338.56

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Solution

The fourth proportional to 11,643.88, 16,068.48 and 6,338.56 is: 8,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.88 : 16,068.48 = 6,338.56 : x
  2. Step 2: Convert to fraction form
    11,643.88/16,068.48 = 6,338.56/x
  3. Step 3: Cross multiply
    11,643.88x = 16,068.48 × 6,338.56
  4. Step 4: Simplify right side
    11,643.88x = 101,851,024.59
  5. Step 5: Solve for x
    x = 101,851,024.59/11,643.88
  6. Step 6: Final answer
    x = 8,747.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.