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Finding the Fourth Proportional to 11,102.76, 16,654.19 and 2,782.74

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Solution

The fourth proportional to 11,102.76, 16,654.19 and 2,782.74 is: 4,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.76 : 16,654.19 = 2,782.74 : x
  2. Step 2: Convert to fraction form
    11,102.76/16,654.19 = 2,782.74/x
  3. Step 3: Cross multiply
    11,102.76x = 16,654.19 × 2,782.74
  4. Step 4: Simplify right side
    11,102.76x = 46,344,280.68
  5. Step 5: Solve for x
    x = 46,344,280.68/11,102.76
  6. Step 6: Final answer
    x = 4,174.12

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Why These Related Problems?

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