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Finding the Fourth Proportional to 11,494.30, 17,242.80 and 4,099.81

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Solution

The fourth proportional to 11,494.30, 17,242.80 and 4,099.81 is: 6,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.30 : 17,242.80 = 4,099.81 : x
  2. Step 2: Convert to fraction form
    11,494.30/17,242.80 = 4,099.81/x
  3. Step 3: Cross multiply
    11,494.30x = 17,242.80 × 4,099.81
  4. Step 4: Simplify right side
    11,494.30x = 70,692,117.65
  5. Step 5: Solve for x
    x = 70,692,117.65/11,494.30
  6. Step 6: Final answer
    x = 6,150.19

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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.