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Finding the Fourth Proportional to 11,563.26, 15,959.07 and 6,529.50

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Solution

The fourth proportional to 11,563.26, 15,959.07 and 6,529.50 is: 9,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.26 : 15,959.07 = 6,529.50 : x
  2. Step 2: Convert to fraction form
    11,563.26/15,959.07 = 6,529.50/x
  3. Step 3: Cross multiply
    11,563.26x = 15,959.07 × 6,529.50
  4. Step 4: Simplify right side
    11,563.26x = 104,204,747.57
  5. Step 5: Solve for x
    x = 104,204,747.57/11,563.26
  6. Step 6: Final answer
    x = 9,011.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.