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Finding the Fourth Proportional to 8,401.63, 12,604.32 and 2,558.69

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Solution

The fourth proportional to 8,401.63, 12,604.32 and 2,558.69 is: 3,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.63 : 12,604.32 = 2,558.69 : x
  2. Step 2: Convert to fraction form
    8,401.63/12,604.32 = 2,558.69/x
  3. Step 3: Cross multiply
    8,401.63x = 12,604.32 × 2,558.69
  4. Step 4: Simplify right side
    8,401.63x = 32,250,547.54
  5. Step 5: Solve for x
    x = 32,250,547.54/8,401.63
  6. Step 6: Final answer
    x = 3,838.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.