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Finding the Fourth Proportional to 11,695.32, 17,537.29 and 3,901.50

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Solution

The fourth proportional to 11,695.32, 17,537.29 and 3,901.50 is: 5,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.32 : 17,537.29 = 3,901.50 : x
  2. Step 2: Convert to fraction form
    11,695.32/17,537.29 = 3,901.50/x
  3. Step 3: Cross multiply
    11,695.32x = 17,537.29 × 3,901.50
  4. Step 4: Simplify right side
    11,695.32x = 68,421,736.94
  5. Step 5: Solve for x
    x = 68,421,736.94/11,695.32
  6. Step 6: Final answer
    x = 5,850.35

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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.