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Finding the Fourth Proportional to 8,057.95, 12,075.24 and 5,722.53

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Solution

The fourth proportional to 8,057.95, 12,075.24 and 5,722.53 is: 8,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.95 : 12,075.24 = 5,722.53 : x
  2. Step 2: Convert to fraction form
    8,057.95/12,075.24 = 5,722.53/x
  3. Step 3: Cross multiply
    8,057.95x = 12,075.24 × 5,722.53
  4. Step 4: Simplify right side
    8,057.95x = 69,100,923.16
  5. Step 5: Solve for x
    x = 69,100,923.16/8,057.95
  6. Step 6: Final answer
    x = 8,575.50

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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.