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Finding the Fourth Proportional to 11,966.52, 16,511.04 and 7,250.76

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Solution

The fourth proportional to 11,966.52, 16,511.04 and 7,250.76 is: 10,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.52 : 16,511.04 = 7,250.76 : x
  2. Step 2: Convert to fraction form
    11,966.52/16,511.04 = 7,250.76/x
  3. Step 3: Cross multiply
    11,966.52x = 16,511.04 × 7,250.76
  4. Step 4: Simplify right side
    11,966.52x = 119,717,588.39
  5. Step 5: Solve for x
    x = 119,717,588.39/11,966.52
  6. Step 6: Final answer
    x = 10,004.38

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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.