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Finding the Fourth Proportional to 7,984.69, 11,987.63 and 6,822.16

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Solution

The fourth proportional to 7,984.69, 11,987.63 and 6,822.16 is: 10,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.69 : 11,987.63 = 6,822.16 : x
  2. Step 2: Convert to fraction form
    7,984.69/11,987.63 = 6,822.16/x
  3. Step 3: Cross multiply
    7,984.69x = 11,987.63 × 6,822.16
  4. Step 4: Simplify right side
    7,984.69x = 81,781,529.88
  5. Step 5: Solve for x
    x = 81,781,529.88/7,984.69
  6. Step 6: Final answer
    x = 10,242.29

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