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Finding the Fourth Proportional to 8,269.84, 11,409.51 and 5,287.42

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Solution

The fourth proportional to 8,269.84, 11,409.51 and 5,287.42 is: 7,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.84 : 11,409.51 = 5,287.42 : x
  2. Step 2: Convert to fraction form
    8,269.84/11,409.51 = 5,287.42/x
  3. Step 3: Cross multiply
    8,269.84x = 11,409.51 × 5,287.42
  4. Step 4: Simplify right side
    8,269.84x = 60,326,871.36
  5. Step 5: Solve for x
    x = 60,326,871.36/8,269.84
  6. Step 6: Final answer
    x = 7,294.81

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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.