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Finding the Fourth Proportional to 10,814.76, 16,218.18 and 5,266.44

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Solution

The fourth proportional to 10,814.76, 16,218.18 and 5,266.44 is: 7,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.76 : 16,218.18 = 5,266.44 : x
  2. Step 2: Convert to fraction form
    10,814.76/16,218.18 = 5,266.44/x
  3. Step 3: Cross multiply
    10,814.76x = 16,218.18 × 5,266.44
  4. Step 4: Simplify right side
    10,814.76x = 85,412,071.88
  5. Step 5: Solve for x
    x = 85,412,071.88/10,814.76
  6. Step 6: Final answer
    x = 7,897.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.