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Finding the Fourth Proportional to 7,887.45, 11,832.12 and 3,206.46

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Solution

The fourth proportional to 7,887.45, 11,832.12 and 3,206.46 is: 4,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.45 : 11,832.12 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    7,887.45/11,832.12 = 3,206.46/x
  3. Step 3: Cross multiply
    7,887.45x = 11,832.12 × 3,206.46
  4. Step 4: Simplify right side
    7,887.45x = 37,939,219.50
  5. Step 5: Solve for x
    x = 37,939,219.50/7,887.45
  6. Step 6: Final answer
    x = 4,810.07

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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.