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Finding the Fourth Proportional to 11,674.01, 16,110.38 and 6,368.83

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Solution

The fourth proportional to 11,674.01, 16,110.38 and 6,368.83 is: 8,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.01 : 16,110.38 = 6,368.83 : x
  2. Step 2: Convert to fraction form
    11,674.01/16,110.38 = 6,368.83/x
  3. Step 3: Cross multiply
    11,674.01x = 16,110.38 × 6,368.83
  4. Step 4: Simplify right side
    11,674.01x = 102,604,211.28
  5. Step 5: Solve for x
    x = 102,604,211.28/11,674.01
  6. Step 6: Final answer
    x = 8,789.12

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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.