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Finding the Fourth Proportional to 8,562.21, 12,846.06 and 3,636

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Solution

The fourth proportional to 8,562.21, 12,846.06 and 3,636 is: 5,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.21 : 12,846.06 = 3,636 : x
  2. Step 2: Convert to fraction form
    8,562.21/12,846.06 = 3,636/x
  3. Step 3: Cross multiply
    8,562.21x = 12,846.06 × 3,636
  4. Step 4: Simplify right side
    8,562.21x = 46,708,274.16
  5. Step 5: Solve for x
    x = 46,708,274.16/8,562.21
  6. Step 6: Final answer
    x = 5,455.17

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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.