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Finding the Fourth Proportional to 8,362.35, 12,541.50 and 2,814.26

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Solution

The fourth proportional to 8,362.35, 12,541.50 and 2,814.26 is: 4,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.35 : 12,541.50 = 2,814.26 : x
  2. Step 2: Convert to fraction form
    8,362.35/12,541.50 = 2,814.26/x
  3. Step 3: Cross multiply
    8,362.35x = 12,541.50 × 2,814.26
  4. Step 4: Simplify right side
    8,362.35x = 35,294,979.08
  5. Step 5: Solve for x
    x = 35,294,979.08/8,362.35
  6. Step 6: Final answer
    x = 4,220.70

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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.