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Finding the Fourth Proportional to 8,305.41, 12,455.99 and 2,460.65

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Solution

The fourth proportional to 8,305.41, 12,455.99 and 2,460.65 is: 3,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.41 : 12,455.99 = 2,460.65 : x
  2. Step 2: Convert to fraction form
    8,305.41/12,455.99 = 2,460.65/x
  3. Step 3: Cross multiply
    8,305.41x = 12,455.99 × 2,460.65
  4. Step 4: Simplify right side
    8,305.41x = 30,649,869.09
  5. Step 5: Solve for x
    x = 30,649,869.09/8,305.41
  6. Step 6: Final answer
    x = 3,690.35

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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.