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Finding the Fourth Proportional to 11,883.20, 17,824.80 and 7,966.40

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Solution

The fourth proportional to 11,883.20, 17,824.80 and 7,966.40 is: 11,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.20 : 17,824.80 = 7,966.40 : x
  2. Step 2: Convert to fraction form
    11,883.20/17,824.80 = 7,966.40/x
  3. Step 3: Cross multiply
    11,883.20x = 17,824.80 × 7,966.40
  4. Step 4: Simplify right side
    11,883.20x = 141,999,486.72
  5. Step 5: Solve for x
    x = 141,999,486.72/11,883.20
  6. Step 6: Final answer
    x = 11,949.60

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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.