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Finding the Fourth Proportional to 12,102.41, 16,708.16 and 7,857.30

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Solution

The fourth proportional to 12,102.41, 16,708.16 and 7,857.30 is: 10,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.41 : 16,708.16 = 7,857.30 : x
  2. Step 2: Convert to fraction form
    12,102.41/16,708.16 = 7,857.30/x
  3. Step 3: Cross multiply
    12,102.41x = 16,708.16 × 7,857.30
  4. Step 4: Simplify right side
    12,102.41x = 131,280,986.28
  5. Step 5: Solve for x
    x = 131,280,986.28/12,102.41
  6. Step 6: Final answer
    x = 10,847.51

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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.