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Finding the Fourth Proportional to 7,735.83, 10,674.63 and 4,378.11

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Solution

The fourth proportional to 7,735.83, 10,674.63 and 4,378.11 is: 6,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.83 : 10,674.63 = 4,378.11 : x
  2. Step 2: Convert to fraction form
    7,735.83/10,674.63 = 4,378.11/x
  3. Step 3: Cross multiply
    7,735.83x = 10,674.63 × 4,378.11
  4. Step 4: Simplify right side
    7,735.83x = 46,734,704.35
  5. Step 5: Solve for x
    x = 46,734,704.35/7,735.83
  6. Step 6: Final answer
    x = 6,041.33

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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.