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Finding the Fourth Proportional to 7,193.86, 10,792.24 and 3,033.86

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Solution

The fourth proportional to 7,193.86, 10,792.24 and 3,033.86 is: 4,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.86 : 10,792.24 = 3,033.86 : x
  2. Step 2: Convert to fraction form
    7,193.86/10,792.24 = 3,033.86/x
  3. Step 3: Cross multiply
    7,193.86x = 10,792.24 × 3,033.86
  4. Step 4: Simplify right side
    7,193.86x = 32,742,083.70
  5. Step 5: Solve for x
    x = 32,742,083.70/7,193.86
  6. Step 6: Final answer
    x = 4,551.39

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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.