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Finding the Fourth Proportional to 8,110.68, 12,166.02 and 4,645.50

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Solution

The fourth proportional to 8,110.68, 12,166.02 and 4,645.50 is: 6,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.68 : 12,166.02 = 4,645.50 : x
  2. Step 2: Convert to fraction form
    8,110.68/12,166.02 = 4,645.50/x
  3. Step 3: Cross multiply
    8,110.68x = 12,166.02 × 4,645.50
  4. Step 4: Simplify right side
    8,110.68x = 56,517,245.91
  5. Step 5: Solve for x
    x = 56,517,245.91/8,110.68
  6. Step 6: Final answer
    x = 6,968.25

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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.