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Finding the Fourth Proportional to 12,011.88, 16,576.70 and 6,707.09

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Solution

The fourth proportional to 12,011.88, 16,576.70 and 6,707.09 is: 9,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.88 : 16,576.70 = 6,707.09 : x
  2. Step 2: Convert to fraction form
    12,011.88/16,576.70 = 6,707.09/x
  3. Step 3: Cross multiply
    12,011.88x = 16,576.70 × 6,707.09
  4. Step 4: Simplify right side
    12,011.88x = 111,181,302.38
  5. Step 5: Solve for x
    x = 111,181,302.38/12,011.88
  6. Step 6: Final answer
    x = 9,255.95

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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.