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Finding the Fourth Proportional to 8,889.60, 13,334.40 and 7,982.40

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Solution

The fourth proportional to 8,889.60, 13,334.40 and 7,982.40 is: 11,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,889.60 : 13,334.40 = 7,982.40 : x
  2. Step 2: Convert to fraction form
    8,889.60/13,334.40 = 7,982.40/x
  3. Step 3: Cross multiply
    8,889.60x = 13,334.40 × 7,982.40
  4. Step 4: Simplify right side
    8,889.60x = 106,440,514.56
  5. Step 5: Solve for x
    x = 106,440,514.56/8,889.60
  6. Step 6: Final answer
    x = 11,973.60

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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.