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Finding the Fourth Proportional to 7,981.60, 11,972.40 and 7,290.40

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Solution

The fourth proportional to 7,981.60, 11,972.40 and 7,290.40 is: 10,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.60 : 11,972.40 = 7,290.40 : x
  2. Step 2: Convert to fraction form
    7,981.60/11,972.40 = 7,290.40/x
  3. Step 3: Cross multiply
    7,981.60x = 11,972.40 × 7,290.40
  4. Step 4: Simplify right side
    7,981.60x = 87,283,584.96
  5. Step 5: Solve for x
    x = 87,283,584.96/7,981.60
  6. Step 6: Final answer
    x = 10,935.60

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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.