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Finding the Fourth Proportional to 8,146.63, 12,208.89 and 3,460.76

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Solution

The fourth proportional to 8,146.63, 12,208.89 and 3,460.76 is: 5,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.63 : 12,208.89 = 3,460.76 : x
  2. Step 2: Convert to fraction form
    8,146.63/12,208.89 = 3,460.76/x
  3. Step 3: Cross multiply
    8,146.63x = 12,208.89 × 3,460.76
  4. Step 4: Simplify right side
    8,146.63x = 42,252,006.67
  5. Step 5: Solve for x
    x = 42,252,006.67/8,146.63
  6. Step 6: Final answer
    x = 5,186.44

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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.