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Finding the Fourth Proportional to 7,998.84, 11,995.82 and 2,803.50

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Solution

The fourth proportional to 7,998.84, 11,995.82 and 2,803.50 is: 4,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.84 : 11,995.82 = 2,803.50 : x
  2. Step 2: Convert to fraction form
    7,998.84/11,995.82 = 2,803.50/x
  3. Step 3: Cross multiply
    7,998.84x = 11,995.82 × 2,803.50
  4. Step 4: Simplify right side
    7,998.84x = 33,630,281.37
  5. Step 5: Solve for x
    x = 33,630,281.37/7,998.84
  6. Step 6: Final answer
    x = 4,204.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.