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Finding the Fourth Proportional to 8,571.81, 12,849.99 and 3,024.17

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Solution

The fourth proportional to 8,571.81, 12,849.99 and 3,024.17 is: 4,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.81 : 12,849.99 = 3,024.17 : x
  2. Step 2: Convert to fraction form
    8,571.81/12,849.99 = 3,024.17/x
  3. Step 3: Cross multiply
    8,571.81x = 12,849.99 × 3,024.17
  4. Step 4: Simplify right side
    8,571.81x = 38,860,554.26
  5. Step 5: Solve for x
    x = 38,860,554.26/8,571.81
  6. Step 6: Final answer
    x = 4,533.53

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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.