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Finding the Fourth Proportional to 8,174.65, 11,281.39 and 4,817.61

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Solution

The fourth proportional to 8,174.65, 11,281.39 and 4,817.61 is: 6,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.65 : 11,281.39 = 4,817.61 : x
  2. Step 2: Convert to fraction form
    8,174.65/11,281.39 = 4,817.61/x
  3. Step 3: Cross multiply
    8,174.65x = 11,281.39 × 4,817.61
  4. Step 4: Simplify right side
    8,174.65x = 54,349,288.95
  5. Step 5: Solve for x
    x = 54,349,288.95/8,174.65
  6. Step 6: Final answer
    x = 6,648.51

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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.