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Finding the Fourth Proportional to 7,735.23, 10,680.17 and 4,755.06

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Solution

The fourth proportional to 7,735.23, 10,680.17 and 4,755.06 is: 6,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.23 : 10,680.17 = 4,755.06 : x
  2. Step 2: Convert to fraction form
    7,735.23/10,680.17 = 4,755.06/x
  3. Step 3: Cross multiply
    7,735.23x = 10,680.17 × 4,755.06
  4. Step 4: Simplify right side
    7,735.23x = 50,784,825.38
  5. Step 5: Solve for x
    x = 50,784,825.38/7,735.23
  6. Step 6: Final answer
    x = 6,565.39

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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.