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Finding the Fourth Proportional to 8,186.34, 11,297.16 and 4,650.69

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Solution

The fourth proportional to 8,186.34, 11,297.16 and 4,650.69 is: 6,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.34 : 11,297.16 = 4,650.69 : x
  2. Step 2: Convert to fraction form
    8,186.34/11,297.16 = 4,650.69/x
  3. Step 3: Cross multiply
    8,186.34x = 11,297.16 × 4,650.69
  4. Step 4: Simplify right side
    8,186.34x = 52,539,589.04
  5. Step 5: Solve for x
    x = 52,539,589.04/8,186.34
  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.