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Finding the Fourth Proportional to 7,695.82, 10,620.19 and 4,159.02

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Solution

The fourth proportional to 7,695.82, 10,620.19 and 4,159.02 is: 5,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.82 : 10,620.19 = 4,159.02 : x
  2. Step 2: Convert to fraction form
    7,695.82/10,620.19 = 4,159.02/x
  3. Step 3: Cross multiply
    7,695.82x = 10,620.19 × 4,159.02
  4. Step 4: Simplify right side
    7,695.82x = 44,169,582.61
  5. Step 5: Solve for x
    x = 44,169,582.61/7,695.82
  6. Step 6: Final answer
    x = 5,739.43

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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.