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Finding the Fourth Proportional to 6,856.51, 10,285.55 and 3,344.01

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Solution

The fourth proportional to 6,856.51, 10,285.55 and 3,344.01 is: 5,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.51 : 10,285.55 = 3,344.01 : x
  2. Step 2: Convert to fraction form
    6,856.51/10,285.55 = 3,344.01/x
  3. Step 3: Cross multiply
    6,856.51x = 10,285.55 × 3,344.01
  4. Step 4: Simplify right side
    6,856.51x = 34,394,982.06
  5. Step 5: Solve for x
    x = 34,394,982.06/6,856.51
  6. Step 6: Final answer
    x = 5,016.40

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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.