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Finding the Fourth Proportional to 7,959.88, 12,003.51 and 7,850.44

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Solution

The fourth proportional to 7,959.88, 12,003.51 and 7,850.44 is: 11,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.88 : 12,003.51 = 7,850.44 : x
  2. Step 2: Convert to fraction form
    7,959.88/12,003.51 = 7,850.44/x
  3. Step 3: Cross multiply
    7,959.88x = 12,003.51 × 7,850.44
  4. Step 4: Simplify right side
    7,959.88x = 94,232,835.04
  5. Step 5: Solve for x
    x = 94,232,835.04/7,959.88
  6. Step 6: Final answer
    x = 11,838.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.