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Finding the Fourth Proportional to 7,734.90, 10,674.54 and 4,377.54

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Solution

The fourth proportional to 7,734.90, 10,674.54 and 4,377.54 is: 6,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.90 : 10,674.54 = 4,377.54 : x
  2. Step 2: Convert to fraction form
    7,734.90/10,674.54 = 4,377.54/x
  3. Step 3: Cross multiply
    7,734.90x = 10,674.54 × 4,377.54
  4. Step 4: Simplify right side
    7,734.90x = 46,728,225.83
  5. Step 5: Solve for x
    x = 46,728,225.83/7,734.90
  6. Step 6: Final answer
    x = 6,041.22

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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.