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Finding the Fourth Proportional to 10,647.36, 15,971.04 and 2,856.96

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Solution

The fourth proportional to 10,647.36, 15,971.04 and 2,856.96 is: 4,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.36 : 15,971.04 = 2,856.96 : x
  2. Step 2: Convert to fraction form
    10,647.36/15,971.04 = 2,856.96/x
  3. Step 3: Cross multiply
    10,647.36x = 15,971.04 × 2,856.96
  4. Step 4: Simplify right side
    10,647.36x = 45,628,622.44
  5. Step 5: Solve for x
    x = 45,628,622.44/10,647.36
  6. Step 6: Final answer
    x = 4,285.44

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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.