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Finding the Fourth Proportional to 7,705.54, 10,633.63 and 4,168.74

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Solution

The fourth proportional to 7,705.54, 10,633.63 and 4,168.74 is: 5,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.54 : 10,633.63 = 4,168.74 : x
  2. Step 2: Convert to fraction form
    7,705.54/10,633.63 = 4,168.74/x
  3. Step 3: Cross multiply
    7,705.54x = 10,633.63 × 4,168.74
  4. Step 4: Simplify right side
    7,705.54x = 44,328,838.73
  5. Step 5: Solve for x
    x = 44,328,838.73/7,705.54
  6. Step 6: Final answer
    x = 5,752.85

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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.