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Finding the Fourth Proportional to 12,777.27, 17,632.63 and 7,111.89

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Solution

The fourth proportional to 12,777.27, 17,632.63 and 7,111.89 is: 9,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.27 : 17,632.63 = 7,111.89 : x
  2. Step 2: Convert to fraction form
    12,777.27/17,632.63 = 7,111.89/x
  3. Step 3: Cross multiply
    12,777.27x = 17,632.63 × 7,111.89
  4. Step 4: Simplify right side
    12,777.27x = 125,401,344.38
  5. Step 5: Solve for x
    x = 125,401,344.38/12,777.27
  6. Step 6: Final answer
    x = 9,814.41

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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.