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Finding the Fourth Proportional to 10,861.75, 14,989.62 and 6,145.93

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Solution

The fourth proportional to 10,861.75, 14,989.62 and 6,145.93 is: 8,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.75 : 14,989.62 = 6,145.93 : x
  2. Step 2: Convert to fraction form
    10,861.75/14,989.62 = 6,145.93/x
  3. Step 3: Cross multiply
    10,861.75x = 14,989.62 × 6,145.93
  4. Step 4: Simplify right side
    10,861.75x = 92,125,155.25
  5. Step 5: Solve for x
    x = 92,125,155.25/10,861.75
  6. Step 6: Final answer
    x = 8,481.61

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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.