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Finding the Fourth Proportional to 8,161.67, 12,245.55 and 4,649.51

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Solution

The fourth proportional to 8,161.67, 12,245.55 and 4,649.51 is: 6,976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.67 : 12,245.55 = 4,649.51 : x
  2. Step 2: Convert to fraction form
    8,161.67/12,245.55 = 4,649.51/x
  3. Step 3: Cross multiply
    8,161.67x = 12,245.55 × 4,649.51
  4. Step 4: Simplify right side
    8,161.67x = 56,935,820.36
  5. Step 5: Solve for x
    x = 56,935,820.36/8,161.67
  6. Step 6: Final answer
    x = 6,976.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.