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Finding the Fourth Proportional to 8,563.53, 12,846.15 and 2,323.64

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Solution

The fourth proportional to 8,563.53, 12,846.15 and 2,323.64 is: 3,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.53 : 12,846.15 = 2,323.64 : x
  2. Step 2: Convert to fraction form
    8,563.53/12,846.15 = 2,323.64/x
  3. Step 3: Cross multiply
    8,563.53x = 12,846.15 × 2,323.64
  4. Step 4: Simplify right side
    8,563.53x = 29,849,860.10
  5. Step 5: Solve for x
    x = 29,849,860.10/8,563.53
  6. Step 6: Final answer
    x = 3,485.70

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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.