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Finding the Fourth Proportional to 11,496.80, 17,246.54 and 4,102.30

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Solution

The fourth proportional to 11,496.80, 17,246.54 and 4,102.30 is: 6,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.80 : 17,246.54 = 4,102.30 : x
  2. Step 2: Convert to fraction form
    11,496.80/17,246.54 = 4,102.30/x
  3. Step 3: Cross multiply
    11,496.80x = 17,246.54 × 4,102.30
  4. Step 4: Simplify right side
    11,496.80x = 70,750,481.04
  5. Step 5: Solve for x
    x = 70,750,481.04/11,496.80
  6. Step 6: Final answer
    x = 6,153.93

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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.