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Finding the Fourth Proportional to 7,705.89, 10,634.14 and 4,169.09

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Solution

The fourth proportional to 7,705.89, 10,634.14 and 4,169.09 is: 5,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.89 : 10,634.14 = 4,169.09 : x
  2. Step 2: Convert to fraction form
    7,705.89/10,634.14 = 4,169.09/x
  3. Step 3: Cross multiply
    7,705.89x = 10,634.14 × 4,169.09
  4. Step 4: Simplify right side
    7,705.89x = 44,334,686.73
  5. Step 5: Solve for x
    x = 44,334,686.73/7,705.89
  6. Step 6: Final answer
    x = 5,753.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.