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Finding the Fourth Proportional to 7,695.94, 10,620.37 and 4,159.14

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Solution

The fourth proportional to 7,695.94, 10,620.37 and 4,159.14 is: 5,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.94 : 10,620.37 = 4,159.14 : x
  2. Step 2: Convert to fraction form
    7,695.94/10,620.37 = 4,159.14/x
  3. Step 3: Cross multiply
    7,695.94x = 10,620.37 × 4,159.14
  4. Step 4: Simplify right side
    7,695.94x = 44,171,584.89
  5. Step 5: Solve for x
    x = 44,171,584.89/7,695.94
  6. Step 6: Final answer
    x = 5,739.60

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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.