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Finding the Fourth Proportional to 11,801.46, 17,703.29 and 3,904

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Solution

The fourth proportional to 11,801.46, 17,703.29 and 3,904 is: 5,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.46 : 17,703.29 = 3,904 : x
  2. Step 2: Convert to fraction form
    11,801.46/17,703.29 = 3,904/x
  3. Step 3: Cross multiply
    11,801.46x = 17,703.29 × 3,904
  4. Step 4: Simplify right side
    11,801.46x = 69,113,644.16
  5. Step 5: Solve for x
    x = 69,113,644.16/11,801.46
  6. Step 6: Final answer
    x = 5,856.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.