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Finding the Fourth Proportional to 7,739.93, 10,682.01 and 4,596.12

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Solution

The fourth proportional to 7,739.93, 10,682.01 and 4,596.12 is: 6,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.93 : 10,682.01 = 4,596.12 : x
  2. Step 2: Convert to fraction form
    7,739.93/10,682.01 = 4,596.12/x
  3. Step 3: Cross multiply
    7,739.93x = 10,682.01 × 4,596.12
  4. Step 4: Simplify right side
    7,739.93x = 49,095,789.15
  5. Step 5: Solve for x
    x = 49,095,789.15/7,739.93
  6. Step 6: Final answer
    x = 6,343.18

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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.