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Finding the Fourth Proportional to 8,159.74, 11,260.23 and 4,622.86

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Solution

The fourth proportional to 8,159.74, 11,260.23 and 4,622.86 is: 6,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.74 : 11,260.23 = 4,622.86 : x
  2. Step 2: Convert to fraction form
    8,159.74/11,260.23 = 4,622.86/x
  3. Step 3: Cross multiply
    8,159.74x = 11,260.23 × 4,622.86
  4. Step 4: Simplify right side
    8,159.74x = 52,054,466.86
  5. Step 5: Solve for x
    x = 52,054,466.86/8,159.74
  6. Step 6: Final answer
    x = 6,379.43

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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.