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Finding the Fourth Proportional to 8,114.00, 11,198.35 and 4,756.80

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Solution

The fourth proportional to 8,114.00, 11,198.35 and 4,756.80 is: 6,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.00 : 11,198.35 = 4,756.80 : x
  2. Step 2: Convert to fraction form
    8,114.00/11,198.35 = 4,756.80/x
  3. Step 3: Cross multiply
    8,114.00x = 11,198.35 × 4,756.80
  4. Step 4: Simplify right side
    8,114.00x = 53,268,327.72
  5. Step 5: Solve for x
    x = 53,268,327.72/8,114.00
  6. Step 6: Final answer
    x = 6,564.99

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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.