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Finding the Fourth Proportional to 7,981.84, 11,973.84 and 2,786.52

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Solution

The fourth proportional to 7,981.84, 11,973.84 and 2,786.52 is: 4,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.84 : 11,973.84 = 2,786.52 : x
  2. Step 2: Convert to fraction form
    7,981.84/11,973.84 = 2,786.52/x
  3. Step 3: Cross multiply
    7,981.84x = 11,973.84 × 2,786.52
  4. Step 4: Simplify right side
    7,981.84x = 33,365,344.64
  5. Step 5: Solve for x
    x = 33,365,344.64/7,981.84
  6. Step 6: Final answer
    x = 4,180.16

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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.