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Finding the Fourth Proportional to 8,461.44, 11,674.56 and 5,316.48

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Solution

The fourth proportional to 8,461.44, 11,674.56 and 5,316.48 is: 7,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.44 : 11,674.56 = 5,316.48 : x
  2. Step 2: Convert to fraction form
    8,461.44/11,674.56 = 5,316.48/x
  3. Step 3: Cross multiply
    8,461.44x = 11,674.56 × 5,316.48
  4. Step 4: Simplify right side
    8,461.44x = 62,067,564.75
  5. Step 5: Solve for x
    x = 62,067,564.75/8,461.44
  6. Step 6: Final answer
    x = 7,335.34

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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.