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Finding the Fourth Proportional to 11,610.28, 16,030.32 and 10,255.54

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Solution

The fourth proportional to 11,610.28, 16,030.32 and 10,255.54 is: 14,159.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.28 : 16,030.32 = 10,255.54 : x
  2. Step 2: Convert to fraction form
    11,610.28/16,030.32 = 10,255.54/x
  3. Step 3: Cross multiply
    11,610.28x = 16,030.32 × 10,255.54
  4. Step 4: Simplify right side
    11,610.28x = 164,399,587.97
  5. Step 5: Solve for x
    x = 164,399,587.97/11,610.28
  6. Step 6: Final answer
    x = 14,159.83

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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.