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Finding the Fourth Proportional to 8,608, 11,874.50 and 7,107.16

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Solution

The fourth proportional to 8,608, 11,874.50 and 7,107.16 is: 9,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608 : 11,874.50 = 7,107.16 : x
  2. Step 2: Convert to fraction form
    8,608/11,874.50 = 7,107.16/x
  3. Step 3: Cross multiply
    8,608x = 11,874.50 × 7,107.16
  4. Step 4: Simplify right side
    8,608x = 84,393,971.42
  5. Step 5: Solve for x
    x = 84,393,971.42/8,608
  6. Step 6: Final answer
    x = 9,804.13

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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.