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Finding the Fourth Proportional to 8,416.08, 11,601.93 and 5,890.50

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Solution

The fourth proportional to 8,416.08, 11,601.93 and 5,890.50 is: 8,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.08 : 11,601.93 = 5,890.50 : x
  2. Step 2: Convert to fraction form
    8,416.08/11,601.93 = 5,890.50/x
  3. Step 3: Cross multiply
    8,416.08x = 11,601.93 × 5,890.50
  4. Step 4: Simplify right side
    8,416.08x = 68,341,168.67
  5. Step 5: Solve for x
    x = 68,341,168.67/8,416.08
  6. Step 6: Final answer
    x = 8,120.31

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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.