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Finding the Fourth Proportional to 11,571.76, 17,366.55 and 6,026.50

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Solution

The fourth proportional to 11,571.76, 17,366.55 and 6,026.50 is: 9,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.76 : 17,366.55 = 6,026.50 : x
  2. Step 2: Convert to fraction form
    11,571.76/17,366.55 = 6,026.50/x
  3. Step 3: Cross multiply
    11,571.76x = 17,366.55 × 6,026.50
  4. Step 4: Simplify right side
    11,571.76x = 104,659,513.58
  5. Step 5: Solve for x
    x = 104,659,513.58/11,571.76
  6. Step 6: Final answer
    x = 9,044.39

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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.