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Finding the Fourth Proportional to 11,643.36, 16,066.98 and 6,926.76

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Solution

The fourth proportional to 11,643.36, 16,066.98 and 6,926.76 is: 9,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.36 : 16,066.98 = 6,926.76 : x
  2. Step 2: Convert to fraction form
    11,643.36/16,066.98 = 6,926.76/x
  3. Step 3: Cross multiply
    11,643.36x = 16,066.98 × 6,926.76
  4. Step 4: Simplify right side
    11,643.36x = 111,292,114.38
  5. Step 5: Solve for x
    x = 111,292,114.38/11,643.36
  6. Step 6: Final answer
    x = 9,558.42

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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.