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Finding the Fourth Proportional to 11,307.50, 16,961.28 and 3,516.32

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Solution

The fourth proportional to 11,307.50, 16,961.28 and 3,516.32 is: 5,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.50 : 16,961.28 = 3,516.32 : x
  2. Step 2: Convert to fraction form
    11,307.50/16,961.28 = 3,516.32/x
  3. Step 3: Cross multiply
    11,307.50x = 16,961.28 × 3,516.32
  4. Step 4: Simplify right side
    11,307.50x = 59,641,288.09
  5. Step 5: Solve for x
    x = 59,641,288.09/11,307.50
  6. Step 6: Final answer
    x = 5,274.49

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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.