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Finding the Fourth Proportional to 7,735.01, 10,674.31 and 4,377.77

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Solution

The fourth proportional to 7,735.01, 10,674.31 and 4,377.77 is: 6,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.01 : 10,674.31 = 4,377.77 : x
  2. Step 2: Convert to fraction form
    7,735.01/10,674.31 = 4,377.77/x
  3. Step 3: Cross multiply
    7,735.01x = 10,674.31 × 4,377.77
  4. Step 4: Simplify right side
    7,735.01x = 46,729,620.72
  5. Step 5: Solve for x
    x = 46,729,620.72/7,735.01
  6. Step 6: Final answer
    x = 6,041.31

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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.