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Finding the Fourth Proportional to 11,309.64, 16,963.64 and 5,759.52

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Solution

The fourth proportional to 11,309.64, 16,963.64 and 5,759.52 is: 8,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.64 : 16,963.64 = 5,759.52 : x
  2. Step 2: Convert to fraction form
    11,309.64/16,963.64 = 5,759.52/x
  3. Step 3: Cross multiply
    11,309.64x = 16,963.64 × 5,759.52
  4. Step 4: Simplify right side
    11,309.64x = 97,702,423.85
  5. Step 5: Solve for x
    x = 97,702,423.85/11,309.64
  6. Step 6: Final answer
    x = 8,638.86

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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.