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Finding the Fourth Proportional to 8,396.51, 12,594.80 and 2,553.10

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Solution

The fourth proportional to 8,396.51, 12,594.80 and 2,553.10 is: 3,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.51 : 12,594.80 = 2,553.10 : x
  2. Step 2: Convert to fraction form
    8,396.51/12,594.80 = 2,553.10/x
  3. Step 3: Cross multiply
    8,396.51x = 12,594.80 × 2,553.10
  4. Step 4: Simplify right side
    8,396.51x = 32,155,758.78
  5. Step 5: Solve for x
    x = 32,155,758.78/8,396.51
  6. Step 6: Final answer
    x = 3,829.66

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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.