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Finding the Fourth Proportional to 11,485.53, 17,233.56 and 6,814.80

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Solution

The fourth proportional to 11,485.53, 17,233.56 and 6,814.80 is: 10,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.53 : 17,233.56 = 6,814.80 : x
  2. Step 2: Convert to fraction form
    11,485.53/17,233.56 = 6,814.80/x
  3. Step 3: Cross multiply
    11,485.53x = 17,233.56 × 6,814.80
  4. Step 4: Simplify right side
    11,485.53x = 117,443,264.69
  5. Step 5: Solve for x
    x = 117,443,264.69/11,485.53
  6. Step 6: Final answer
    x = 10,225.32

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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.