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Finding the Fourth Proportional to 8,564.49, 12,849.27 and 3,018.24

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Solution

The fourth proportional to 8,564.49, 12,849.27 and 3,018.24 is: 4,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.49 : 12,849.27 = 3,018.24 : x
  2. Step 2: Convert to fraction form
    8,564.49/12,849.27 = 3,018.24/x
  3. Step 3: Cross multiply
    8,564.49x = 12,849.27 × 3,018.24
  4. Step 4: Simplify right side
    8,564.49x = 38,782,180.68
  5. Step 5: Solve for x
    x = 38,782,180.68/8,564.49
  6. Step 6: Final answer
    x = 4,528.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.