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Finding the Fourth Proportional to 10,874.28, 16,274.36 and 7,543.65

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Solution

The fourth proportional to 10,874.28, 16,274.36 and 7,543.65 is: 11,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.28 : 16,274.36 = 7,543.65 : x
  2. Step 2: Convert to fraction form
    10,874.28/16,274.36 = 7,543.65/x
  3. Step 3: Cross multiply
    10,874.28x = 16,274.36 × 7,543.65
  4. Step 4: Simplify right side
    10,874.28x = 122,768,038.10
  5. Step 5: Solve for x
    x = 122,768,038.10/10,874.28
  6. Step 6: Final answer
    x = 11,289.76

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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.