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Finding the Fourth Proportional to 8,185.82, 11,297.74 and 4,650.16

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Solution

The fourth proportional to 8,185.82, 11,297.74 and 4,650.16 is: 6,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.82 : 11,297.74 = 4,650.16 : x
  2. Step 2: Convert to fraction form
    8,185.82/11,297.74 = 4,650.16/x
  3. Step 3: Cross multiply
    8,185.82x = 11,297.74 × 4,650.16
  4. Step 4: Simplify right side
    8,185.82x = 52,536,298.64
  5. Step 5: Solve for x
    x = 52,536,298.64/8,185.82
  6. Step 6: Final answer
    x = 6,417.96

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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.