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Finding the Fourth Proportional to 11,584.80, 17,352.90 and 6,384.60

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Solution

The fourth proportional to 11,584.80, 17,352.90 and 6,384.60 is: 9,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.80 : 17,352.90 = 6,384.60 : x
  2. Step 2: Convert to fraction form
    11,584.80/17,352.90 = 6,384.60/x
  3. Step 3: Cross multiply
    11,584.80x = 17,352.90 × 6,384.60
  4. Step 4: Simplify right side
    11,584.80x = 110,791,325.34
  5. Step 5: Solve for x
    x = 110,791,325.34/11,584.80
  6. Step 6: Final answer
    x = 9,563.51

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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.