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Finding the Fourth Proportional to 10,815.26, 16,218.93 and 5,266.94

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Solution

The fourth proportional to 10,815.26, 16,218.93 and 5,266.94 is: 7,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.26 : 16,218.93 = 5,266.94 : x
  2. Step 2: Convert to fraction form
    10,815.26/16,218.93 = 5,266.94/x
  3. Step 3: Cross multiply
    10,815.26x = 16,218.93 × 5,266.94
  4. Step 4: Simplify right side
    10,815.26x = 85,424,131.17
  5. Step 5: Solve for x
    x = 85,424,131.17/10,815.26
  6. Step 6: Final answer
    x = 7,898.48

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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.