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Finding the Fourth Proportional to 11,225.50, 16,833.37 and 3,218.50

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Solution

The fourth proportional to 11,225.50, 16,833.37 and 3,218.50 is: 4,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.50 : 16,833.37 = 3,218.50 : x
  2. Step 2: Convert to fraction form
    11,225.50/16,833.37 = 3,218.50/x
  3. Step 3: Cross multiply
    11,225.50x = 16,833.37 × 3,218.50
  4. Step 4: Simplify right side
    11,225.50x = 54,178,214.34
  5. Step 5: Solve for x
    x = 54,178,214.34/11,225.50
  6. Step 6: Final answer
    x = 4,826.35

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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.