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Finding the Fourth Proportional to 10,861.40, 16,256.10 and 7,891.40

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Solution

The fourth proportional to 10,861.40, 16,256.10 and 7,891.40 is: 11,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.40 : 16,256.10 = 7,891.40 : x
  2. Step 2: Convert to fraction form
    10,861.40/16,256.10 = 7,891.40/x
  3. Step 3: Cross multiply
    10,861.40x = 16,256.10 × 7,891.40
  4. Step 4: Simplify right side
    10,861.40x = 128,283,387.54
  5. Step 5: Solve for x
    x = 128,283,387.54/10,861.40
  6. Step 6: Final answer
    x = 11,810.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.