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Finding the Fourth Proportional to 7,705.14, 10,633.09 and 4,168.35

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Solution

The fourth proportional to 7,705.14, 10,633.09 and 4,168.35 is: 5,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.14 : 10,633.09 = 4,168.35 : x
  2. Step 2: Convert to fraction form
    7,705.14/10,633.09 = 4,168.35/x
  3. Step 3: Cross multiply
    7,705.14x = 10,633.09 × 4,168.35
  4. Step 4: Simplify right side
    7,705.14x = 44,322,440.70
  5. Step 5: Solve for x
    x = 44,322,440.70/7,705.14
  6. Step 6: Final answer
    x = 5,752.32

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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.