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Finding the Fourth Proportional to 11,340.13, 17,010.21 and 6,178.81

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Solution

The fourth proportional to 11,340.13, 17,010.21 and 6,178.81 is: 9,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.13 : 17,010.21 = 6,178.81 : x
  2. Step 2: Convert to fraction form
    11,340.13/17,010.21 = 6,178.81/x
  3. Step 3: Cross multiply
    11,340.13x = 17,010.21 × 6,178.81
  4. Step 4: Simplify right side
    11,340.13x = 105,102,855.65
  5. Step 5: Solve for x
    x = 105,102,855.65/11,340.13
  6. Step 6: Final answer
    x = 9,268.22

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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.