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Finding the Fourth Proportional to 10,351.86, 15,527.80 and 3,778.54

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Solution

The fourth proportional to 10,351.86, 15,527.80 and 3,778.54 is: 5,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.86 : 15,527.80 = 3,778.54 : x
  2. Step 2: Convert to fraction form
    10,351.86/15,527.80 = 3,778.54/x
  3. Step 3: Cross multiply
    10,351.86x = 15,527.80 × 3,778.54
  4. Step 4: Simplify right side
    10,351.86x = 58,672,413.41
  5. Step 5: Solve for x
    x = 58,672,413.41/10,351.86
  6. Step 6: Final answer
    x = 5,667.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.