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Finding the Fourth Proportional to 7,550.94, 10,420.09 and 4,193.66

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Solution

The fourth proportional to 7,550.94, 10,420.09 and 4,193.66 is: 5,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.94 : 10,420.09 = 4,193.66 : x
  2. Step 2: Convert to fraction form
    7,550.94/10,420.09 = 4,193.66/x
  3. Step 3: Cross multiply
    7,550.94x = 10,420.09 × 4,193.66
  4. Step 4: Simplify right side
    7,550.94x = 43,698,314.63
  5. Step 5: Solve for x
    x = 43,698,314.63/7,550.94
  6. Step 6: Final answer
    x = 5,787.14

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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.