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Finding the Fourth Proportional to 8,304.24, 12,456 and 2,064.12

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Solution

The fourth proportional to 8,304.24, 12,456 and 2,064.12 is: 3,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.24 : 12,456 = 2,064.12 : x
  2. Step 2: Convert to fraction form
    8,304.24/12,456 = 2,064.12/x
  3. Step 3: Cross multiply
    8,304.24x = 12,456 × 2,064.12
  4. Step 4: Simplify right side
    8,304.24x = 25,710,678.72
  5. Step 5: Solve for x
    x = 25,710,678.72/8,304.24
  6. Step 6: Final answer
    x = 3,096.09

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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.