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Finding the Fourth Proportional to 8,474.63, 12,709.51 and 3,544.16

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Solution

The fourth proportional to 8,474.63, 12,709.51 and 3,544.16 is: 5,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.63 : 12,709.51 = 3,544.16 : x
  2. Step 2: Convert to fraction form
    8,474.63/12,709.51 = 3,544.16/x
  3. Step 3: Cross multiply
    8,474.63x = 12,709.51 × 3,544.16
  4. Step 4: Simplify right side
    8,474.63x = 45,044,464.55
  5. Step 5: Solve for x
    x = 45,044,464.55/8,474.63
  6. Step 6: Final answer
    x = 5,315.22

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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.