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Finding the Fourth Proportional to 12,051.72, 16,631.37 and 6,747.78

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Solution

The fourth proportional to 12,051.72, 16,631.37 and 6,747.78 is: 9,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.72 : 16,631.37 = 6,747.78 : x
  2. Step 2: Convert to fraction form
    12,051.72/16,631.37 = 6,747.78/x
  3. Step 3: Cross multiply
    12,051.72x = 16,631.37 × 6,747.78
  4. Step 4: Simplify right side
    12,051.72x = 112,224,825.86
  5. Step 5: Solve for x
    x = 112,224,825.86/12,051.72
  6. Step 6: Final answer
    x = 9,311.93

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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.