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Finding the Fourth Proportional to 11,643.30, 16,068.51 and 6,926.94

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Solution

The fourth proportional to 11,643.30, 16,068.51 and 6,926.94 is: 9,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.30 : 16,068.51 = 6,926.94 : x
  2. Step 2: Convert to fraction form
    11,643.30/16,068.51 = 6,926.94/x
  3. Step 3: Cross multiply
    11,643.30x = 16,068.51 × 6,926.94
  4. Step 4: Simplify right side
    11,643.30x = 111,305,604.66
  5. Step 5: Solve for x
    x = 111,305,604.66/11,643.30
  6. Step 6: Final answer
    x = 9,559.63

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Why These Related Problems?

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