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Finding the Fourth Proportional to 7,023.68, 9,692.10 and 4,190.84

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Solution

The fourth proportional to 7,023.68, 9,692.10 and 4,190.84 is: 5,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.68 : 9,692.10 = 4,190.84 : x
  2. Step 2: Convert to fraction form
    7,023.68/9,692.10 = 4,190.84/x
  3. Step 3: Cross multiply
    7,023.68x = 9,692.10 × 4,190.84
  4. Step 4: Simplify right side
    7,023.68x = 40,618,040.36
  5. Step 5: Solve for x
    x = 40,618,040.36/7,023.68
  6. Step 6: Final answer
    x = 5,783.01

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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.