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Finding the Fourth Proportional to 7,490.25, 10,336.55 and 4,178.25

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Solution

The fourth proportional to 7,490.25, 10,336.55 and 4,178.25 is: 5,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.25 : 10,336.55 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    7,490.25/10,336.55 = 4,178.25/x
  3. Step 3: Cross multiply
    7,490.25x = 10,336.55 × 4,178.25
  4. Step 4: Simplify right side
    7,490.25x = 43,188,669.15
  5. Step 5: Solve for x
    x = 43,188,669.15/7,490.25
  6. Step 6: Final answer
    x = 5,765.99

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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.