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Finding the Fourth Proportional to 7,705.83, 10,634.12 and 4,169.12

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Solution

The fourth proportional to 7,705.83, 10,634.12 and 4,169.12 is: 5,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.83 : 10,634.12 = 4,169.12 : x
  2. Step 2: Convert to fraction form
    7,705.83/10,634.12 = 4,169.12/x
  3. Step 3: Cross multiply
    7,705.83x = 10,634.12 × 4,169.12
  4. Step 4: Simplify right side
    7,705.83x = 44,334,879.63
  5. Step 5: Solve for x
    x = 44,334,879.63/7,705.83
  6. Step 6: Final answer
    x = 5,753.42

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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.