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Finding the Fourth Proportional to 7,887.68, 11,832.69 and 2,549.07

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Solution

The fourth proportional to 7,887.68, 11,832.69 and 2,549.07 is: 3,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.68 : 11,832.69 = 2,549.07 : x
  2. Step 2: Convert to fraction form
    7,887.68/11,832.69 = 2,549.07/x
  3. Step 3: Cross multiply
    7,887.68x = 11,832.69 × 2,549.07
  4. Step 4: Simplify right side
    7,887.68x = 30,162,355.10
  5. Step 5: Solve for x
    x = 30,162,355.10/7,887.68
  6. Step 6: Final answer
    x = 3,823.99

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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.