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Finding the Fourth Proportional to 7,178.41, 10,774.11 and 3,021.49

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Solution

The fourth proportional to 7,178.41, 10,774.11 and 3,021.49 is: 4,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.41 : 10,774.11 = 3,021.49 : x
  2. Step 2: Convert to fraction form
    7,178.41/10,774.11 = 3,021.49/x
  3. Step 3: Cross multiply
    7,178.41x = 10,774.11 × 3,021.49
  4. Step 4: Simplify right side
    7,178.41x = 32,553,865.62
  5. Step 5: Solve for x
    x = 32,553,865.62/7,178.41
  6. Step 6: Final answer
    x = 4,534.97

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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.