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Finding the Fourth Proportional to 7,852.41, 11,778.62 and 2,661.93

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Solution

The fourth proportional to 7,852.41, 11,778.62 and 2,661.93 is: 3,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.41 : 11,778.62 = 2,661.93 : x
  2. Step 2: Convert to fraction form
    7,852.41/11,778.62 = 2,661.93/x
  3. Step 3: Cross multiply
    7,852.41x = 11,778.62 × 2,661.93
  4. Step 4: Simplify right side
    7,852.41x = 31,353,848.63
  5. Step 5: Solve for x
    x = 31,353,848.63/7,852.41
  6. Step 6: Final answer
    x = 3,992.90

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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.