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Finding the Fourth Proportional to 11,017.50, 16,526.34 and 4,092

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Solution

The fourth proportional to 11,017.50, 16,526.34 and 4,092 is: 6,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.50 : 16,526.34 = 4,092 : x
  2. Step 2: Convert to fraction form
    11,017.50/16,526.34 = 4,092/x
  3. Step 3: Cross multiply
    11,017.50x = 16,526.34 × 4,092
  4. Step 4: Simplify right side
    11,017.50x = 67,625,783.28
  5. Step 5: Solve for x
    x = 67,625,783.28/11,017.50
  6. Step 6: Final answer
    x = 6,138.03

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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.