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Finding the Fourth Proportional to 11,875.82, 16,383.48 and 7,093.04

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Solution

The fourth proportional to 11,875.82, 16,383.48 and 7,093.04 is: 9,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.82 : 16,383.48 = 7,093.04 : x
  2. Step 2: Convert to fraction form
    11,875.82/16,383.48 = 7,093.04/x
  3. Step 3: Cross multiply
    11,875.82x = 16,383.48 × 7,093.04
  4. Step 4: Simplify right side
    11,875.82x = 116,208,678.98
  5. Step 5: Solve for x
    x = 116,208,678.98/11,875.82
  6. Step 6: Final answer
    x = 9,785.32

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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.