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Finding the Fourth Proportional to 8,409.69, 11,605.38 and 4,874.95

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Solution

The fourth proportional to 8,409.69, 11,605.38 and 4,874.95 is: 6,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.69 : 11,605.38 = 4,874.95 : x
  2. Step 2: Convert to fraction form
    8,409.69/11,605.38 = 4,874.95/x
  3. Step 3: Cross multiply
    8,409.69x = 11,605.38 × 4,874.95
  4. Step 4: Simplify right side
    8,409.69x = 56,575,622.86
  5. Step 5: Solve for x
    x = 56,575,622.86/8,409.69
  6. Step 6: Final answer
    x = 6,727.43

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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.