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Finding the Fourth Proportional to 8,004.81, 11,991.62 and 4,877.06

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Solution

The fourth proportional to 8,004.81, 11,991.62 and 4,877.06 is: 7,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.81 : 11,991.62 = 4,877.06 : x
  2. Step 2: Convert to fraction form
    8,004.81/11,991.62 = 4,877.06/x
  3. Step 3: Cross multiply
    8,004.81x = 11,991.62 × 4,877.06
  4. Step 4: Simplify right side
    8,004.81x = 58,483,847.44
  5. Step 5: Solve for x
    x = 58,483,847.44/8,004.81
  6. Step 6: Final answer
    x = 7,306.08

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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.