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Finding the Fourth Proportional to 7,377.69, 10,181.51 and 4,190.95

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Solution

The fourth proportional to 7,377.69, 10,181.51 and 4,190.95 is: 5,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.69 : 10,181.51 = 4,190.95 : x
  2. Step 2: Convert to fraction form
    7,377.69/10,181.51 = 4,190.95/x
  3. Step 3: Cross multiply
    7,377.69x = 10,181.51 × 4,190.95
  4. Step 4: Simplify right side
    7,377.69x = 42,670,199.33
  5. Step 5: Solve for x
    x = 42,670,199.33/7,377.69
  6. Step 6: Final answer
    x = 5,783.68

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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.