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Finding the Fourth Proportional to 7,695.88, 10,620.32 and 4,159.09

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Solution

The fourth proportional to 7,695.88, 10,620.32 and 4,159.09 is: 5,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.88 : 10,620.32 = 4,159.09 : x
  2. Step 2: Convert to fraction form
    7,695.88/10,620.32 = 4,159.09/x
  3. Step 3: Cross multiply
    7,695.88x = 10,620.32 × 4,159.09
  4. Step 4: Simplify right side
    7,695.88x = 44,170,859.19
  5. Step 5: Solve for x
    x = 44,170,859.19/7,695.88
  6. Step 6: Final answer
    x = 5,739.55

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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.