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Finding the Fourth Proportional to 7,735.41, 10,677.63 and 4,591.60

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Solution

The fourth proportional to 7,735.41, 10,677.63 and 4,591.60 is: 6,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.41 : 10,677.63 = 4,591.60 : x
  2. Step 2: Convert to fraction form
    7,735.41/10,677.63 = 4,591.60/x
  3. Step 3: Cross multiply
    7,735.41x = 10,677.63 × 4,591.60
  4. Step 4: Simplify right side
    7,735.41x = 49,027,352.52
  5. Step 5: Solve for x
    x = 49,027,352.52/7,735.41
  6. Step 6: Final answer
    x = 6,338.04

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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.