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Finding the Fourth Proportional to 8,280.51, 11,431.82 and 5,456.09

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Solution

The fourth proportional to 8,280.51, 11,431.82 and 5,456.09 is: 7,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.51 : 11,431.82 = 5,456.09 : x
  2. Step 2: Convert to fraction form
    8,280.51/11,431.82 = 5,456.09/x
  3. Step 3: Cross multiply
    8,280.51x = 11,431.82 × 5,456.09
  4. Step 4: Simplify right side
    8,280.51x = 62,372,954.34
  5. Step 5: Solve for x
    x = 62,372,954.34/8,280.51
  6. Step 6: Final answer
    x = 7,532.50

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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.