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Finding the Fourth Proportional to 8,429.56, 11,632.10 and 4,843.38

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Solution

The fourth proportional to 8,429.56, 11,632.10 and 4,843.38 is: 6,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.56 : 11,632.10 = 4,843.38 : x
  2. Step 2: Convert to fraction form
    8,429.56/11,632.10 = 4,843.38/x
  3. Step 3: Cross multiply
    8,429.56x = 11,632.10 × 4,843.38
  4. Step 4: Simplify right side
    8,429.56x = 56,338,680.50
  5. Step 5: Solve for x
    x = 56,338,680.50/8,429.56
  6. Step 6: Final answer
    x = 6,683.47

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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.