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Finding the Fourth Proportional to 12,151.37, 16,768.80 and 6,847.89

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Solution

The fourth proportional to 12,151.37, 16,768.80 and 6,847.89 is: 9,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.37 : 16,768.80 = 6,847.89 : x
  2. Step 2: Convert to fraction form
    12,151.37/16,768.80 = 6,847.89/x
  3. Step 3: Cross multiply
    12,151.37x = 16,768.80 × 6,847.89
  4. Step 4: Simplify right side
    12,151.37x = 114,830,897.83
  5. Step 5: Solve for x
    x = 114,830,897.83/12,151.37
  6. Step 6: Final answer
    x = 9,450.04

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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.