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Finding the Fourth Proportional to 10,265.54, 14,151.31 and 8,842.97

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Solution

The fourth proportional to 10,265.54, 14,151.31 and 8,842.97 is: 12,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.54 : 14,151.31 = 8,842.97 : x
  2. Step 2: Convert to fraction form
    10,265.54/14,151.31 = 8,842.97/x
  3. Step 3: Cross multiply
    10,265.54x = 14,151.31 × 8,842.97
  4. Step 4: Simplify right side
    10,265.54x = 125,139,623.06
  5. Step 5: Solve for x
    x = 125,139,623.06/10,265.54
  6. Step 6: Final answer
    x = 12,190.27

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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.