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Finding the Fourth Proportional to 7,871.95, 11,804.58 and 3,192.98

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Solution

The fourth proportional to 7,871.95, 11,804.58 and 3,192.98 is: 4,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.95 : 11,804.58 = 3,192.98 : x
  2. Step 2: Convert to fraction form
    7,871.95/11,804.58 = 3,192.98/x
  3. Step 3: Cross multiply
    7,871.95x = 11,804.58 × 3,192.98
  4. Step 4: Simplify right side
    7,871.95x = 37,691,771.88
  5. Step 5: Solve for x
    x = 37,691,771.88/7,871.95
  6. Step 6: Final answer
    x = 4,788.11

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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.