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Finding the Fourth Proportional to 8,142.75, 11,237.00 and 4,416.75

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Solution

The fourth proportional to 8,142.75, 11,237.00 and 4,416.75 is: 6,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.75 : 11,237.00 = 4,416.75 : x
  2. Step 2: Convert to fraction form
    8,142.75/11,237.00 = 4,416.75/x
  3. Step 3: Cross multiply
    8,142.75x = 11,237.00 × 4,416.75
  4. Step 4: Simplify right side
    8,142.75x = 49,630,997.67
  5. Step 5: Solve for x
    x = 49,630,997.67/8,142.75
  6. Step 6: Final answer
    x = 6,095.12

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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.