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Finding the Fourth Proportional to 8,412.31, 11,609.50 and 4,635.48

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Solution

The fourth proportional to 8,412.31, 11,609.50 and 4,635.48 is: 6,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.31 : 11,609.50 = 4,635.48 : x
  2. Step 2: Convert to fraction form
    8,412.31/11,609.50 = 4,635.48/x
  3. Step 3: Cross multiply
    8,412.31x = 11,609.50 × 4,635.48
  4. Step 4: Simplify right side
    8,412.31x = 53,815,567.32
  5. Step 5: Solve for x
    x = 53,815,567.32/8,412.31
  6. Step 6: Final answer
    x = 6,397.24

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