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Finding the Fourth Proportional to 8,203.02, 12,297.14 and 3,007.68

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Solution

The fourth proportional to 8,203.02, 12,297.14 and 3,007.68 is: 4,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.02 : 12,297.14 = 3,007.68 : x
  2. Step 2: Convert to fraction form
    8,203.02/12,297.14 = 3,007.68/x
  3. Step 3: Cross multiply
    8,203.02x = 12,297.14 × 3,007.68
  4. Step 4: Simplify right side
    8,203.02x = 36,985,862.04
  5. Step 5: Solve for x
    x = 36,985,862.04/8,203.02
  6. Step 6: Final answer
    x = 4,508.81

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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.