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Finding the Fourth Proportional to 11,301.50, 16,941 and 5,454.92

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Solution

The fourth proportional to 11,301.50, 16,941 and 5,454.92 is: 8,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.50 : 16,941 = 5,454.92 : x
  2. Step 2: Convert to fraction form
    11,301.50/16,941 = 5,454.92/x
  3. Step 3: Cross multiply
    11,301.50x = 16,941 × 5,454.92
  4. Step 4: Simplify right side
    11,301.50x = 92,411,799.72
  5. Step 5: Solve for x
    x = 92,411,799.72/11,301.50
  6. Step 6: Final answer
    x = 8,176.95

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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.