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Finding the Fourth Proportional to 7,737.27, 10,674.42 and 4,379.31

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Solution

The fourth proportional to 7,737.27, 10,674.42 and 4,379.31 is: 6,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.27 : 10,674.42 = 4,379.31 : x
  2. Step 2: Convert to fraction form
    7,737.27/10,674.42 = 4,379.31/x
  3. Step 3: Cross multiply
    7,737.27x = 10,674.42 × 4,379.31
  4. Step 4: Simplify right side
    7,737.27x = 46,746,594.25
  5. Step 5: Solve for x
    x = 46,746,594.25/7,737.27
  6. Step 6: Final answer
    x = 6,041.74

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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.