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Finding the Fourth Proportional to 12,011.05, 16,574.09 and 8,237.46

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Solution

The fourth proportional to 12,011.05, 16,574.09 and 8,237.46 is: 11,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.05 : 16,574.09 = 8,237.46 : x
  2. Step 2: Convert to fraction form
    12,011.05/16,574.09 = 8,237.46/x
  3. Step 3: Cross multiply
    12,011.05x = 16,574.09 × 8,237.46
  4. Step 4: Simplify right side
    12,011.05x = 136,528,424.38
  5. Step 5: Solve for x
    x = 136,528,424.38/12,011.05
  6. Step 6: Final answer
    x = 11,366.90

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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.