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Finding the Fourth Proportional to 8,983.58, 12,396.74 and 5,206.43

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Solution

The fourth proportional to 8,983.58, 12,396.74 and 5,206.43 is: 7,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.58 : 12,396.74 = 5,206.43 : x
  2. Step 2: Convert to fraction form
    8,983.58/12,396.74 = 5,206.43/x
  3. Step 3: Cross multiply
    8,983.58x = 12,396.74 × 5,206.43
  4. Step 4: Simplify right side
    8,983.58x = 64,542,671.02
  5. Step 5: Solve for x
    x = 64,542,671.02/8,983.58
  6. Step 6: Final answer
    x = 7,184.52

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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.