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Finding the Fourth Proportional to 11,562.36, 17,338.13 and 4,165.84

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Solution

The fourth proportional to 11,562.36, 17,338.13 and 4,165.84 is: 6,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.36 : 17,338.13 = 4,165.84 : x
  2. Step 2: Convert to fraction form
    11,562.36/17,338.13 = 4,165.84/x
  3. Step 3: Cross multiply
    11,562.36x = 17,338.13 × 4,165.84
  4. Step 4: Simplify right side
    11,562.36x = 72,227,854.65
  5. Step 5: Solve for x
    x = 72,227,854.65/11,562.36
  6. Step 6: Final answer
    x = 6,246.81

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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.