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Finding the Fourth Proportional to 8,395.37, 12,583.81 and 3,462.31

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Solution

The fourth proportional to 8,395.37, 12,583.81 and 3,462.31 is: 5,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.37 : 12,583.81 = 3,462.31 : x
  2. Step 2: Convert to fraction form
    8,395.37/12,583.81 = 3,462.31/x
  3. Step 3: Cross multiply
    8,395.37x = 12,583.81 × 3,462.31
  4. Step 4: Simplify right side
    8,395.37x = 43,569,024.07
  5. Step 5: Solve for x
    x = 43,569,024.07/8,395.37
  6. Step 6: Final answer
    x = 5,189.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.