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Finding the Fourth Proportional to 12,861.56, 19,293 and 3,628.28

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Solution

The fourth proportional to 12,861.56, 19,293 and 3,628.28 is: 5,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.56 : 19,293 = 3,628.28 : x
  2. Step 2: Convert to fraction form
    12,861.56/19,293 = 3,628.28/x
  3. Step 3: Cross multiply
    12,861.56x = 19,293 × 3,628.28
  4. Step 4: Simplify right side
    12,861.56x = 70,000,406.04
  5. Step 5: Solve for x
    x = 70,000,406.04/12,861.56
  6. Step 6: Final answer
    x = 5,442.61

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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.