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Finding the Fourth Proportional to 13,185.36, 19,778.04 and 5,391

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Solution

The fourth proportional to 13,185.36, 19,778.04 and 5,391 is: 8,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.36 : 19,778.04 = 5,391 : x
  2. Step 2: Convert to fraction form
    13,185.36/19,778.04 = 5,391/x
  3. Step 3: Cross multiply
    13,185.36x = 19,778.04 × 5,391
  4. Step 4: Simplify right side
    13,185.36x = 106,623,413.64
  5. Step 5: Solve for x
    x = 106,623,413.64/13,185.36
  6. Step 6: Final answer
    x = 8,086.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.