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Finding the Fourth Proportional to 12,406.57, 17,114.36 and 7,861.02

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Solution

The fourth proportional to 12,406.57, 17,114.36 and 7,861.02 is: 10,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.57 : 17,114.36 = 7,861.02 : x
  2. Step 2: Convert to fraction form
    12,406.57/17,114.36 = 7,861.02/x
  3. Step 3: Cross multiply
    12,406.57x = 17,114.36 × 7,861.02
  4. Step 4: Simplify right side
    12,406.57x = 134,536,222.76
  5. Step 5: Solve for x
    x = 134,536,222.76/12,406.57
  6. Step 6: Final answer
    x = 10,843.95

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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.