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Finding the Fourth Proportional to 12,366.72, 17,066.08 and 6,777.76

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Solution

The fourth proportional to 12,366.72, 17,066.08 and 6,777.76 is: 9,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.72 : 17,066.08 = 6,777.76 : x
  2. Step 2: Convert to fraction form
    12,366.72/17,066.08 = 6,777.76/x
  3. Step 3: Cross multiply
    12,366.72x = 17,066.08 × 6,777.76
  4. Step 4: Simplify right side
    12,366.72x = 115,669,794.38
  5. Step 5: Solve for x
    x = 115,669,794.38/12,366.72
  6. Step 6: Final answer
    x = 9,353.31

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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.