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Finding the Fourth Proportional to 12,178.08, 16,804.53 and 7,072.83

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Solution

The fourth proportional to 12,178.08, 16,804.53 and 7,072.83 is: 9,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.08 : 16,804.53 = 7,072.83 : x
  2. Step 2: Convert to fraction form
    12,178.08/16,804.53 = 7,072.83/x
  3. Step 3: Cross multiply
    12,178.08x = 16,804.53 × 7,072.83
  4. Step 4: Simplify right side
    12,178.08x = 118,855,583.92
  5. Step 5: Solve for x
    x = 118,855,583.92/12,178.08
  6. Step 6: Final answer
    x = 9,759.80

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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.