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Finding the Fourth Proportional to 11,498.48, 17,237.52 and 6,806.96

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Solution

The fourth proportional to 11,498.48, 17,237.52 and 6,806.96 is: 10,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.48 : 17,237.52 = 6,806.96 : x
  2. Step 2: Convert to fraction form
    11,498.48/17,237.52 = 6,806.96/x
  3. Step 3: Cross multiply
    11,498.48x = 17,237.52 × 6,806.96
  4. Step 4: Simplify right side
    11,498.48x = 117,335,109.14
  5. Step 5: Solve for x
    x = 117,335,109.14/11,498.48
  6. Step 6: Final answer
    x = 10,204.40

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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.