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Finding the Fourth Proportional to 8,208.54, 12,315.85 and 5,887.08

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Solution

The fourth proportional to 8,208.54, 12,315.85 and 5,887.08 is: 8,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.54 : 12,315.85 = 5,887.08 : x
  2. Step 2: Convert to fraction form
    8,208.54/12,315.85 = 5,887.08/x
  3. Step 3: Cross multiply
    8,208.54x = 12,315.85 × 5,887.08
  4. Step 4: Simplify right side
    8,208.54x = 72,504,379.50
  5. Step 5: Solve for x
    x = 72,504,379.50/8,208.54
  6. Step 6: Final answer
    x = 8,832.80

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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.