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Finding the Fourth Proportional to 11,548.79, 17,329.68 and 6,284.18

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Solution

The fourth proportional to 11,548.79, 17,329.68 and 6,284.18 is: 9,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.79 : 17,329.68 = 6,284.18 : x
  2. Step 2: Convert to fraction form
    11,548.79/17,329.68 = 6,284.18/x
  3. Step 3: Cross multiply
    11,548.79x = 17,329.68 × 6,284.18
  4. Step 4: Simplify right side
    11,548.79x = 108,902,871.79
  5. Step 5: Solve for x
    x = 108,902,871.79/11,548.79
  6. Step 6: Final answer
    x = 9,429.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.