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Finding the Fourth Proportional to 7,550.72, 10,420.32 and 4,193.54

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Solution

The fourth proportional to 7,550.72, 10,420.32 and 4,193.54 is: 5,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.72 : 10,420.32 = 4,193.54 : x
  2. Step 2: Convert to fraction form
    7,550.72/10,420.32 = 4,193.54/x
  3. Step 3: Cross multiply
    7,550.72x = 10,420.32 × 4,193.54
  4. Step 4: Simplify right side
    7,550.72x = 43,697,976.63
  5. Step 5: Solve for x
    x = 43,697,976.63/7,550.72
  6. Step 6: Final answer
    x = 5,787.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.