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Finding the Fourth Proportional to 11,690.40, 17,510.88 and 9,213.60

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Solution

The fourth proportional to 11,690.40, 17,510.88 and 9,213.60 is: 13,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.40 : 17,510.88 = 9,213.60 : x
  2. Step 2: Convert to fraction form
    11,690.40/17,510.88 = 9,213.60/x
  3. Step 3: Cross multiply
    11,690.40x = 17,510.88 × 9,213.60
  4. Step 4: Simplify right side
    11,690.40x = 161,338,243.97
  5. Step 5: Solve for x
    x = 161,338,243.97/11,690.40
  6. Step 6: Final answer
    x = 13,800.92

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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.