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Finding the Fourth Proportional to 7,191.38, 10,777.80 and 3,486.44

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Solution

The fourth proportional to 7,191.38, 10,777.80 and 3,486.44 is: 5,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.38 : 10,777.80 = 3,486.44 : x
  2. Step 2: Convert to fraction form
    7,191.38/10,777.80 = 3,486.44/x
  3. Step 3: Cross multiply
    7,191.38x = 10,777.80 × 3,486.44
  4. Step 4: Simplify right side
    7,191.38x = 37,576,153.03
  5. Step 5: Solve for x
    x = 37,576,153.03/7,191.38
  6. Step 6: Final answer
    x = 5,225.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.