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Finding the Fourth Proportional to 11,668.07, 16,102.04 and 6,362.93

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Solution

The fourth proportional to 11,668.07, 16,102.04 and 6,362.93 is: 8,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.07 : 16,102.04 = 6,362.93 : x
  2. Step 2: Convert to fraction form
    11,668.07/16,102.04 = 6,362.93/x
  3. Step 3: Cross multiply
    11,668.07x = 16,102.04 × 6,362.93
  4. Step 4: Simplify right side
    11,668.07x = 102,456,153.38
  5. Step 5: Solve for x
    x = 102,456,153.38/11,668.07
  6. Step 6: Final answer
    x = 8,780.90

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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.