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Finding the Fourth Proportional to 10,742.44, 16,098.54 and 8,541.40

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Solution

The fourth proportional to 10,742.44, 16,098.54 and 8,541.40 is: 12,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.44 : 16,098.54 = 8,541.40 : x
  2. Step 2: Convert to fraction form
    10,742.44/16,098.54 = 8,541.40/x
  3. Step 3: Cross multiply
    10,742.44x = 16,098.54 × 8,541.40
  4. Step 4: Simplify right side
    10,742.44x = 137,504,069.56
  5. Step 5: Solve for x
    x = 137,504,069.56/10,742.44
  6. Step 6: Final answer
    x = 12,800.08

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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.