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Finding the Fourth Proportional to 11,461.83, 17,195.46 and 4,066.93

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Solution

The fourth proportional to 11,461.83, 17,195.46 and 4,066.93 is: 6,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.83 : 17,195.46 = 4,066.93 : x
  2. Step 2: Convert to fraction form
    11,461.83/17,195.46 = 4,066.93/x
  3. Step 3: Cross multiply
    11,461.83x = 17,195.46 × 4,066.93
  4. Step 4: Simplify right side
    11,461.83x = 69,932,732.14
  5. Step 5: Solve for x
    x = 69,932,732.14/11,461.83
  6. Step 6: Final answer
    x = 6,101.36

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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.