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Finding the Fourth Proportional to 11,647.50, 17,473.98 and 3,856.32

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Solution

The fourth proportional to 11,647.50, 17,473.98 and 3,856.32 is: 5,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.50 : 17,473.98 = 3,856.32 : x
  2. Step 2: Convert to fraction form
    11,647.50/17,473.98 = 3,856.32/x
  3. Step 3: Cross multiply
    11,647.50x = 17,473.98 × 3,856.32
  4. Step 4: Simplify right side
    11,647.50x = 67,385,258.55
  5. Step 5: Solve for x
    x = 67,385,258.55/11,647.50
  6. Step 6: Final answer
    x = 5,785.38

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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.