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Finding the Fourth Proportional to 7,987.55, 11,981.93 and 5,822.42

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Solution

The fourth proportional to 7,987.55, 11,981.93 and 5,822.42 is: 8,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.55 : 11,981.93 = 5,822.42 : x
  2. Step 2: Convert to fraction form
    7,987.55/11,981.93 = 5,822.42/x
  3. Step 3: Cross multiply
    7,987.55x = 11,981.93 × 5,822.42
  4. Step 4: Simplify right side
    7,987.55x = 69,763,739.85
  5. Step 5: Solve for x
    x = 69,763,739.85/7,987.55
  6. Step 6: Final answer
    x = 8,734.07

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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.