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Finding the Fourth Proportional to 11,842.32, 16,342.42 and 6,464.80

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Solution

The fourth proportional to 11,842.32, 16,342.42 and 6,464.80 is: 8,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.32 : 16,342.42 = 6,464.80 : x
  2. Step 2: Convert to fraction form
    11,842.32/16,342.42 = 6,464.80/x
  3. Step 3: Cross multiply
    11,842.32x = 16,342.42 × 6,464.80
  4. Step 4: Simplify right side
    11,842.32x = 105,650,476.82
  5. Step 5: Solve for x
    x = 105,650,476.82/11,842.32
  6. Step 6: Final answer
    x = 8,921.43

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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.