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Finding the Fourth Proportional to 8,683.34, 13,023.50 and 2,441.87

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Solution

The fourth proportional to 8,683.34, 13,023.50 and 2,441.87 is: 3,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.34 : 13,023.50 = 2,441.87 : x
  2. Step 2: Convert to fraction form
    8,683.34/13,023.50 = 2,441.87/x
  3. Step 3: Cross multiply
    8,683.34x = 13,023.50 × 2,441.87
  4. Step 4: Simplify right side
    8,683.34x = 31,801,649.18
  5. Step 5: Solve for x
    x = 31,801,649.18/8,683.34
  6. Step 6: Final answer
    x = 3,662.38

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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.