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Finding the Fourth Proportional to 8,359.71, 11,534.36 and 4,633.71

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Solution

The fourth proportional to 8,359.71, 11,534.36 and 4,633.71 is: 6,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.71 : 11,534.36 = 4,633.71 : x
  2. Step 2: Convert to fraction form
    8,359.71/11,534.36 = 4,633.71/x
  3. Step 3: Cross multiply
    8,359.71x = 11,534.36 × 4,633.71
  4. Step 4: Simplify right side
    8,359.71x = 53,446,879.28
  5. Step 5: Solve for x
    x = 53,446,879.28/8,359.71
  6. Step 6: Final answer
    x = 6,393.39

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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.