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Finding the Fourth Proportional to 7,735.33, 10,674.74 and 4,378.08

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Solution

The fourth proportional to 7,735.33, 10,674.74 and 4,378.08 is: 6,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.33 : 10,674.74 = 4,378.08 : x
  2. Step 2: Convert to fraction form
    7,735.33/10,674.74 = 4,378.08/x
  3. Step 3: Cross multiply
    7,735.33x = 10,674.74 × 4,378.08
  4. Step 4: Simplify right side
    7,735.33x = 46,734,865.70
  5. Step 5: Solve for x
    x = 46,734,865.70/7,735.33
  6. Step 6: Final answer
    x = 6,041.75

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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.