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Finding the Fourth Proportional to 8,005.01, 11,949.73 and 7,645.55

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Solution

The fourth proportional to 8,005.01, 11,949.73 and 7,645.55 is: 11,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.01 : 11,949.73 = 7,645.55 : x
  2. Step 2: Convert to fraction form
    8,005.01/11,949.73 = 7,645.55/x
  3. Step 3: Cross multiply
    8,005.01x = 11,949.73 × 7,645.55
  4. Step 4: Simplify right side
    8,005.01x = 91,362,179.34
  5. Step 5: Solve for x
    x = 91,362,179.34/8,005.01
  6. Step 6: Final answer
    x = 11,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.