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Finding the Fourth Proportional to 8,185, 11,295.32 and 4,459

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Solution

The fourth proportional to 8,185, 11,295.32 and 4,459 is: 6,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185 : 11,295.32 = 4,459 : x
  2. Step 2: Convert to fraction form
    8,185/11,295.32 = 4,459/x
  3. Step 3: Cross multiply
    8,185x = 11,295.32 × 4,459
  4. Step 4: Simplify right side
    8,185x = 50,365,831.88
  5. Step 5: Solve for x
    x = 50,365,831.88/8,185
  6. Step 6: Final answer
    x = 6,153.43

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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.