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Finding the Fourth Proportional to 8,715.89, 13,075.89 and 2,872.50

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Solution

The fourth proportional to 8,715.89, 13,075.89 and 2,872.50 is: 4,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.89 : 13,075.89 = 2,872.50 : x
  2. Step 2: Convert to fraction form
    8,715.89/13,075.89 = 2,872.50/x
  3. Step 3: Cross multiply
    8,715.89x = 13,075.89 × 2,872.50
  4. Step 4: Simplify right side
    8,715.89x = 37,560,494.03
  5. Step 5: Solve for x
    x = 37,560,494.03/8,715.89
  6. Step 6: Final answer
    x = 4,309.43

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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.