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Finding the Fourth Proportional to 8,142.22, 11,259.93 and 7,994.65

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Solution

The fourth proportional to 8,142.22, 11,259.93 and 7,994.65 is: 11,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.22 : 11,259.93 = 7,994.65 : x
  2. Step 2: Convert to fraction form
    8,142.22/11,259.93 = 7,994.65/x
  3. Step 3: Cross multiply
    8,142.22x = 11,259.93 × 7,994.65
  4. Step 4: Simplify right side
    8,142.22x = 90,019,199.37
  5. Step 5: Solve for x
    x = 90,019,199.37/8,142.22
  6. Step 6: Final answer
    x = 11,055.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.