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Finding the Fourth Proportional to 11,679.68, 17,488.20 and 7,288.40

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Solution

The fourth proportional to 11,679.68, 17,488.20 and 7,288.40 is: 10,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.68 : 17,488.20 = 7,288.40 : x
  2. Step 2: Convert to fraction form
    11,679.68/17,488.20 = 7,288.40/x
  3. Step 3: Cross multiply
    11,679.68x = 17,488.20 × 7,288.40
  4. Step 4: Simplify right side
    11,679.68x = 127,460,996.88
  5. Step 5: Solve for x
    x = 127,460,996.88/11,679.68
  6. Step 6: Final answer
    x = 10,913.06

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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.