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Finding the Fourth Proportional to 11,302.50, 16,953.75 and 3,511.32

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Solution

The fourth proportional to 11,302.50, 16,953.75 and 3,511.32 is: 5,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.50 : 16,953.75 = 3,511.32 : x
  2. Step 2: Convert to fraction form
    11,302.50/16,953.75 = 3,511.32/x
  3. Step 3: Cross multiply
    11,302.50x = 16,953.75 × 3,511.32
  4. Step 4: Simplify right side
    11,302.50x = 59,530,041.45
  5. Step 5: Solve for x
    x = 59,530,041.45/11,302.50
  6. Step 6: Final answer
    x = 5,266.98

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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.