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Finding the Fourth Proportional to 8,401.64, 12,594.68 and 3,719.16

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Solution

The fourth proportional to 8,401.64, 12,594.68 and 3,719.16 is: 5,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.64 : 12,594.68 = 3,719.16 : x
  2. Step 2: Convert to fraction form
    8,401.64/12,594.68 = 3,719.16/x
  3. Step 3: Cross multiply
    8,401.64x = 12,594.68 × 3,719.16
  4. Step 4: Simplify right side
    8,401.64x = 46,841,584.77
  5. Step 5: Solve for x
    x = 46,841,584.77/8,401.64
  6. Step 6: Final answer
    x = 5,575.29

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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.