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Finding the Fourth Proportional to 8,305.19, 12,460.19 and 2,461.94

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Solution

The fourth proportional to 8,305.19, 12,460.19 and 2,461.94 is: 3,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.19 : 12,460.19 = 2,461.94 : x
  2. Step 2: Convert to fraction form
    8,305.19/12,460.19 = 2,461.94/x
  3. Step 3: Cross multiply
    8,305.19x = 12,460.19 × 2,461.94
  4. Step 4: Simplify right side
    8,305.19x = 30,676,165.56
  5. Step 5: Solve for x
    x = 30,676,165.56/8,305.19
  6. Step 6: Final answer
    x = 3,693.62

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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.