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Finding the Fourth Proportional to 7,374.73, 10,177 and 4,390.49

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Solution

The fourth proportional to 7,374.73, 10,177 and 4,390.49 is: 6,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.73 : 10,177 = 4,390.49 : x
  2. Step 2: Convert to fraction form
    7,374.73/10,177 = 4,390.49/x
  3. Step 3: Cross multiply
    7,374.73x = 10,177 × 4,390.49
  4. Step 4: Simplify right side
    7,374.73x = 44,682,016.73
  5. Step 5: Solve for x
    x = 44,682,016.73/7,374.73
  6. Step 6: Final answer
    x = 6,058.80

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Why These Related Problems?

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