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Finding the Fourth Proportional to 7,705.89, 10,634.06 and 4,169.03

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Solution

The fourth proportional to 7,705.89, 10,634.06 and 4,169.03 is: 5,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.89 : 10,634.06 = 4,169.03 : x
  2. Step 2: Convert to fraction form
    7,705.89/10,634.06 = 4,169.03/x
  3. Step 3: Cross multiply
    7,705.89x = 10,634.06 × 4,169.03
  4. Step 4: Simplify right side
    7,705.89x = 44,333,672.41
  5. Step 5: Solve for x
    x = 44,333,672.41/7,705.89
  6. Step 6: Final answer
    x = 5,753.22

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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.