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Finding the Fourth Proportional to 8,197.90, 11,314.06 and 4,661.64

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Solution

The fourth proportional to 8,197.90, 11,314.06 and 4,661.64 is: 6,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.90 : 11,314.06 = 4,661.64 : x
  2. Step 2: Convert to fraction form
    8,197.90/11,314.06 = 4,661.64/x
  3. Step 3: Cross multiply
    8,197.90x = 11,314.06 × 4,661.64
  4. Step 4: Simplify right side
    8,197.90x = 52,742,074.66
  5. Step 5: Solve for x
    x = 52,742,074.66/8,197.90
  6. Step 6: Final answer
    x = 6,433.61

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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.