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Finding the Fourth Proportional to 7,665.20, 10,577.94 and 4,680.44

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Solution

The fourth proportional to 7,665.20, 10,577.94 and 4,680.44 is: 6,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.20 : 10,577.94 = 4,680.44 : x
  2. Step 2: Convert to fraction form
    7,665.20/10,577.94 = 4,680.44/x
  3. Step 3: Cross multiply
    7,665.20x = 10,577.94 × 4,680.44
  4. Step 4: Simplify right side
    7,665.20x = 49,509,413.49
  5. Step 5: Solve for x
    x = 49,509,413.49/7,665.20
  6. Step 6: Final answer
    x = 6,458.99

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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.