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Finding the Fourth Proportional to 7,550.77, 10,420.13 and 4,193.64

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Solution

The fourth proportional to 7,550.77, 10,420.13 and 4,193.64 is: 5,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.77 : 10,420.13 = 4,193.64 : x
  2. Step 2: Convert to fraction form
    7,550.77/10,420.13 = 4,193.64/x
  3. Step 3: Cross multiply
    7,550.77x = 10,420.13 × 4,193.64
  4. Step 4: Simplify right side
    7,550.77x = 43,698,253.01
  5. Step 5: Solve for x
    x = 43,698,253.01/7,550.77
  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.