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Finding the Fourth Proportional to 10,694.73, 16,020.54 and 8,957.10

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Solution

The fourth proportional to 10,694.73, 16,020.54 and 8,957.10 is: 13,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.73 : 16,020.54 = 8,957.10 : x
  2. Step 2: Convert to fraction form
    10,694.73/16,020.54 = 8,957.10/x
  3. Step 3: Cross multiply
    10,694.73x = 16,020.54 × 8,957.10
  4. Step 4: Simplify right side
    10,694.73x = 143,497,578.83
  5. Step 5: Solve for x
    x = 143,497,578.83/10,694.73
  6. Step 6: Final answer
    x = 13,417.60

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Why These Related Problems?

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