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Finding the Fourth Proportional to 8,174.90, 11,281.74 and 4,817.86

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Solution

The fourth proportional to 8,174.90, 11,281.74 and 4,817.86 is: 6,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.90 : 11,281.74 = 4,817.86 : x
  2. Step 2: Convert to fraction form
    8,174.90/11,281.74 = 4,817.86/x
  3. Step 3: Cross multiply
    8,174.90x = 11,281.74 × 4,817.86
  4. Step 4: Simplify right side
    8,174.90x = 54,353,791.58
  5. Step 5: Solve for x
    x = 54,353,791.58/8,174.90
  6. Step 6: Final answer
    x = 6,648.86

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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.