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Finding the Fourth Proportional to 8,337, 11,505.06 and 4,611

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Solution

The fourth proportional to 8,337, 11,505.06 and 4,611 is: 6,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337 : 11,505.06 = 4,611 : x
  2. Step 2: Convert to fraction form
    8,337/11,505.06 = 4,611/x
  3. Step 3: Cross multiply
    8,337x = 11,505.06 × 4,611
  4. Step 4: Simplify right side
    8,337x = 53,049,831.66
  5. Step 5: Solve for x
    x = 53,049,831.66/8,337
  6. Step 6: Final answer
    x = 6,363.18

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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.