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Finding the Fourth Proportional to 7,811.94, 10,778.22 and 4,667.52

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Solution

The fourth proportional to 7,811.94, 10,778.22 and 4,667.52 is: 6,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.94 : 10,778.22 = 4,667.52 : x
  2. Step 2: Convert to fraction form
    7,811.94/10,778.22 = 4,667.52/x
  3. Step 3: Cross multiply
    7,811.94x = 10,778.22 × 4,667.52
  4. Step 4: Simplify right side
    7,811.94x = 50,307,557.41
  5. Step 5: Solve for x
    x = 50,307,557.41/7,811.94
  6. Step 6: Final answer
    x = 6,439.83

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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.