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Finding the Fourth Proportional to 8,283.17, 12,424.80 and 3,089

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Solution

The fourth proportional to 8,283.17, 12,424.80 and 3,089 is: 4,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.17 : 12,424.80 = 3,089 : x
  2. Step 2: Convert to fraction form
    8,283.17/12,424.80 = 3,089/x
  3. Step 3: Cross multiply
    8,283.17x = 12,424.80 × 3,089
  4. Step 4: Simplify right side
    8,283.17x = 38,380,207.20
  5. Step 5: Solve for x
    x = 38,380,207.20/8,283.17
  6. Step 6: Final answer
    x = 4,633.52

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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.