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Finding the Fourth Proportional to 11,075.50, 16,591.93 and 8,723.06

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Solution

The fourth proportional to 11,075.50, 16,591.93 and 8,723.06 is: 13,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.50 : 16,591.93 = 8,723.06 : x
  2. Step 2: Convert to fraction form
    11,075.50/16,591.93 = 8,723.06/x
  3. Step 3: Cross multiply
    11,075.50x = 16,591.93 × 8,723.06
  4. Step 4: Simplify right side
    11,075.50x = 144,732,400.91
  5. Step 5: Solve for x
    x = 144,732,400.91/11,075.50
  6. Step 6: Final answer
    x = 13,067.80

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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.