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Finding the Fourth Proportional to 7,735.40, 10,674.42 and 4,591.88

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Solution

The fourth proportional to 7,735.40, 10,674.42 and 4,591.88 is: 6,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.40 : 10,674.42 = 4,591.88 : x
  2. Step 2: Convert to fraction form
    7,735.40/10,674.42 = 4,591.88/x
  3. Step 3: Cross multiply
    7,735.40x = 10,674.42 × 4,591.88
  4. Step 4: Simplify right side
    7,735.40x = 49,015,655.71
  5. Step 5: Solve for x
    x = 49,015,655.71/7,735.40
  6. Step 6: Final answer
    x = 6,336.54

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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.