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Finding the Fourth Proportional to 8,200.64, 12,297.02 and 3,756.93

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Solution

The fourth proportional to 8,200.64, 12,297.02 and 3,756.93 is: 5,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.64 : 12,297.02 = 3,756.93 : x
  2. Step 2: Convert to fraction form
    8,200.64/12,297.02 = 3,756.93/x
  3. Step 3: Cross multiply
    8,200.64x = 12,297.02 × 3,756.93
  4. Step 4: Simplify right side
    8,200.64x = 46,199,043.35
  5. Step 5: Solve for x
    x = 46,199,043.35/8,200.64
  6. Step 6: Final answer
    x = 5,633.59

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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.