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Finding the Fourth Proportional to 12,984.08, 17,917.02 and 7,946.21

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Solution

The fourth proportional to 12,984.08, 17,917.02 and 7,946.21 is: 10,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.08 : 17,917.02 = 7,946.21 : x
  2. Step 2: Convert to fraction form
    12,984.08/17,917.02 = 7,946.21/x
  3. Step 3: Cross multiply
    12,984.08x = 17,917.02 × 7,946.21
  4. Step 4: Simplify right side
    12,984.08x = 142,372,403.49
  5. Step 5: Solve for x
    x = 142,372,403.49/12,984.08
  6. Step 6: Final answer
    x = 10,965.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.