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Finding the Fourth Proportional to 10,760.86, 14,855.04 and 7,181.80

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Solution

The fourth proportional to 10,760.86, 14,855.04 and 7,181.80 is: 9,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.86 : 14,855.04 = 7,181.80 : x
  2. Step 2: Convert to fraction form
    10,760.86/14,855.04 = 7,181.80/x
  3. Step 3: Cross multiply
    10,760.86x = 14,855.04 × 7,181.80
  4. Step 4: Simplify right side
    10,760.86x = 106,685,926.27
  5. Step 5: Solve for x
    x = 106,685,926.27/10,760.86
  6. Step 6: Final answer
    x = 9,914.26

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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.