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Finding the Fourth Proportional to 8,206.38, 11,324.41 and 4,848.93

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Solution

The fourth proportional to 8,206.38, 11,324.41 and 4,848.93 is: 6,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.38 : 11,324.41 = 4,848.93 : x
  2. Step 2: Convert to fraction form
    8,206.38/11,324.41 = 4,848.93/x
  3. Step 3: Cross multiply
    8,206.38x = 11,324.41 × 4,848.93
  4. Step 4: Simplify right side
    8,206.38x = 54,911,259.26
  5. Step 5: Solve for x
    x = 54,911,259.26/8,206.38
  6. Step 6: Final answer
    x = 6,691.29

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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.