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Finding the Fourth Proportional to 10,940.70, 16,407 and 8,605.25

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Solution

The fourth proportional to 10,940.70, 16,407 and 8,605.25 is: 12,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.70 : 16,407 = 8,605.25 : x
  2. Step 2: Convert to fraction form
    10,940.70/16,407 = 8,605.25/x
  3. Step 3: Cross multiply
    10,940.70x = 16,407 × 8,605.25
  4. Step 4: Simplify right side
    10,940.70x = 141,186,336.75
  5. Step 5: Solve for x
    x = 141,186,336.75/10,940.70
  6. Step 6: Final answer
    x = 12,904.69

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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.