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Finding the Fourth Proportional to 11,404.28, 15,677.48 and 9,805.03

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Solution

The fourth proportional to 11,404.28, 15,677.48 and 9,805.03 is: 13,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.28 : 15,677.48 = 9,805.03 : x
  2. Step 2: Convert to fraction form
    11,404.28/15,677.48 = 9,805.03/x
  3. Step 3: Cross multiply
    11,404.28x = 15,677.48 × 9,805.03
  4. Step 4: Simplify right side
    11,404.28x = 153,718,161.72
  5. Step 5: Solve for x
    x = 153,718,161.72/11,404.28
  6. Step 6: Final answer
    x = 13,478.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.