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Finding the Fourth Proportional to 8,843.48, 12,207.65 and 5,306

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Solution

The fourth proportional to 8,843.48, 12,207.65 and 5,306 is: 7,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.48 : 12,207.65 = 5,306 : x
  2. Step 2: Convert to fraction form
    8,843.48/12,207.65 = 5,306/x
  3. Step 3: Cross multiply
    8,843.48x = 12,207.65 × 5,306
  4. Step 4: Simplify right side
    8,843.48x = 64,773,764.37
  5. Step 5: Solve for x
    x = 64,773,764.37/8,843.48
  6. Step 6: Final answer
    x = 7,324.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.