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Finding the Fourth Proportional to 12,845.10, 17,723.52 and 7,811.94

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Solution

The fourth proportional to 12,845.10, 17,723.52 and 7,811.94 is: 10,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.10 : 17,723.52 = 7,811.94 : x
  2. Step 2: Convert to fraction form
    12,845.10/17,723.52 = 7,811.94/x
  3. Step 3: Cross multiply
    12,845.10x = 17,723.52 × 7,811.94
  4. Step 4: Simplify right side
    12,845.10x = 138,455,074.83
  5. Step 5: Solve for x
    x = 138,455,074.83/12,845.10
  6. Step 6: Final answer
    x = 10,778.82

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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.