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Finding the Fourth Proportional to 8,306.84, 12,461.70 and 2,464.04

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Solution

The fourth proportional to 8,306.84, 12,461.70 and 2,464.04 is: 3,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.84 : 12,461.70 = 2,464.04 : x
  2. Step 2: Convert to fraction form
    8,306.84/12,461.70 = 2,464.04/x
  3. Step 3: Cross multiply
    8,306.84x = 12,461.70 × 2,464.04
  4. Step 4: Simplify right side
    8,306.84x = 30,706,127.27
  5. Step 5: Solve for x
    x = 30,706,127.27/8,306.84
  6. Step 6: Final answer
    x = 3,696.49

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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.