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Finding the Fourth Proportional to 7,739.67, 10,681.23 and 4,382.83

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Solution

The fourth proportional to 7,739.67, 10,681.23 and 4,382.83 is: 6,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.67 : 10,681.23 = 4,382.83 : x
  2. Step 2: Convert to fraction form
    7,739.67/10,681.23 = 4,382.83/x
  3. Step 3: Cross multiply
    7,739.67x = 10,681.23 × 4,382.83
  4. Step 4: Simplify right side
    7,739.67x = 46,814,015.28
  5. Step 5: Solve for x
    x = 46,814,015.28/7,739.67
  6. Step 6: Final answer
    x = 6,048.58

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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.