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Finding the Fourth Proportional to 8,811.69, 12,160.14 and 4,832.88

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Solution

The fourth proportional to 8,811.69, 12,160.14 and 4,832.88 is: 6,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.69 : 12,160.14 = 4,832.88 : x
  2. Step 2: Convert to fraction form
    8,811.69/12,160.14 = 4,832.88/x
  3. Step 3: Cross multiply
    8,811.69x = 12,160.14 × 4,832.88
  4. Step 4: Simplify right side
    8,811.69x = 58,768,497.40
  5. Step 5: Solve for x
    x = 58,768,497.40/8,811.69
  6. Step 6: Final answer
    x = 6,669.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.