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Finding the Fourth Proportional to 10,966.01, 16,439.06 and 5,694.86

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Solution

The fourth proportional to 10,966.01, 16,439.06 and 5,694.86 is: 8,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.01 : 16,439.06 = 5,694.86 : x
  2. Step 2: Convert to fraction form
    10,966.01/16,439.06 = 5,694.86/x
  3. Step 3: Cross multiply
    10,966.01x = 16,439.06 × 5,694.86
  4. Step 4: Simplify right side
    10,966.01x = 93,618,116.11
  5. Step 5: Solve for x
    x = 93,618,116.11/10,966.01
  6. Step 6: Final answer
    x = 8,537.12

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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.