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Finding the Fourth Proportional to 10,842.58, 14,958.22 and 8,448.39

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Solution

The fourth proportional to 10,842.58, 14,958.22 and 8,448.39 is: 11,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.58 : 14,958.22 = 8,448.39 : x
  2. Step 2: Convert to fraction form
    10,842.58/14,958.22 = 8,448.39/x
  3. Step 3: Cross multiply
    10,842.58x = 14,958.22 × 8,448.39
  4. Step 4: Simplify right side
    10,842.58x = 126,372,876.27
  5. Step 5: Solve for x
    x = 126,372,876.27/10,842.58
  6. Step 6: Final answer
    x = 11,655.25

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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.