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Finding the Fourth Proportional to 7,783.80, 10,741.64 and 4,247

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Solution

The fourth proportional to 7,783.80, 10,741.64 and 4,247 is: 5,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.80 : 10,741.64 = 4,247 : x
  2. Step 2: Convert to fraction form
    7,783.80/10,741.64 = 4,247/x
  3. Step 3: Cross multiply
    7,783.80x = 10,741.64 × 4,247
  4. Step 4: Simplify right side
    7,783.80x = 45,619,745.08
  5. Step 5: Solve for x
    x = 45,619,745.08/7,783.80
  6. Step 6: Final answer
    x = 5,860.86

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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.