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Finding the Fourth Proportional to 10,659.96, 14,709.09 and 6,182.79

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Solution

The fourth proportional to 10,659.96, 14,709.09 and 6,182.79 is: 8,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.96 : 14,709.09 = 6,182.79 : x
  2. Step 2: Convert to fraction form
    10,659.96/14,709.09 = 6,182.79/x
  3. Step 3: Cross multiply
    10,659.96x = 14,709.09 × 6,182.79
  4. Step 4: Simplify right side
    10,659.96x = 90,943,214.56
  5. Step 5: Solve for x
    x = 90,943,214.56/10,659.96
  6. Step 6: Final answer
    x = 8,531.29

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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.