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Finding the Fourth Proportional to 7,435.73, 10,261.24 and 4,078.49

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Solution

The fourth proportional to 7,435.73, 10,261.24 and 4,078.49 is: 5,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.73 : 10,261.24 = 4,078.49 : x
  2. Step 2: Convert to fraction form
    7,435.73/10,261.24 = 4,078.49/x
  3. Step 3: Cross multiply
    7,435.73x = 10,261.24 × 4,078.49
  4. Step 4: Simplify right side
    7,435.73x = 41,850,303.23
  5. Step 5: Solve for x
    x = 41,850,303.23/7,435.73
  6. Step 6: Final answer
    x = 5,628.27

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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.