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Finding the Fourth Proportional to 7,987.84, 11,959.16 and 4,231.07

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Solution

The fourth proportional to 7,987.84, 11,959.16 and 4,231.07 is: 6,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.84 : 11,959.16 = 4,231.07 : x
  2. Step 2: Convert to fraction form
    7,987.84/11,959.16 = 4,231.07/x
  3. Step 3: Cross multiply
    7,987.84x = 11,959.16 × 4,231.07
  4. Step 4: Simplify right side
    7,987.84x = 50,600,043.10
  5. Step 5: Solve for x
    x = 50,600,043.10/7,987.84
  6. Step 6: Final answer
    x = 6,334.63

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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.