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Finding the Fourth Proportional to 7,735.62, 10,674.42 and 4,378.68

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Solution

The fourth proportional to 7,735.62, 10,674.42 and 4,378.68 is: 6,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.62 : 10,674.42 = 4,378.68 : x
  2. Step 2: Convert to fraction form
    7,735.62/10,674.42 = 4,378.68/x
  3. Step 3: Cross multiply
    7,735.62x = 10,674.42 × 4,378.68
  4. Step 4: Simplify right side
    7,735.62x = 46,739,869.37
  5. Step 5: Solve for x
    x = 46,739,869.37/7,735.62
  6. Step 6: Final answer
    x = 6,042.16

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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.