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Finding the Fourth Proportional to 11,800.28, 17,710.53 and 6,257.48

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Solution

The fourth proportional to 11,800.28, 17,710.53 and 6,257.48 is: 9,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.28 : 17,710.53 = 6,257.48 : x
  2. Step 2: Convert to fraction form
    11,800.28/17,710.53 = 6,257.48/x
  3. Step 3: Cross multiply
    11,800.28x = 17,710.53 × 6,257.48
  4. Step 4: Simplify right side
    11,800.28x = 110,823,287.26
  5. Step 5: Solve for x
    x = 110,823,287.26/11,800.28
  6. Step 6: Final answer
    x = 9,391.58

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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.