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Finding the Fourth Proportional to 11,447.73, 15,805.62 and 7,676.54

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Solution

The fourth proportional to 11,447.73, 15,805.62 and 7,676.54 is: 10,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.73 : 15,805.62 = 7,676.54 : x
  2. Step 2: Convert to fraction form
    11,447.73/15,805.62 = 7,676.54/x
  3. Step 3: Cross multiply
    11,447.73x = 15,805.62 × 7,676.54
  4. Step 4: Simplify right side
    11,447.73x = 121,332,395.13
  5. Step 5: Solve for x
    x = 121,332,395.13/11,447.73
  6. Step 6: Final answer
    x = 10,598.82

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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.