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Finding the Fourth Proportional to 10,813.74, 16,114.62 and 10,461.39

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Solution

The fourth proportional to 10,813.74, 16,114.62 and 10,461.39 is: 15,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.74 : 16,114.62 = 10,461.39 : x
  2. Step 2: Convert to fraction form
    10,813.74/16,114.62 = 10,461.39/x
  3. Step 3: Cross multiply
    10,813.74x = 16,114.62 × 10,461.39
  4. Step 4: Simplify right side
    10,813.74x = 168,581,324.52
  5. Step 5: Solve for x
    x = 168,581,324.52/10,813.74
  6. Step 6: Final answer
    x = 15,589.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.