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Finding the Fourth Proportional to 11,405.28, 15,678.85 and 9,806.03

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Solution

The fourth proportional to 11,405.28, 15,678.85 and 9,806.03 is: 13,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.28 : 15,678.85 = 9,806.03 : x
  2. Step 2: Convert to fraction form
    11,405.28/15,678.85 = 9,806.03/x
  3. Step 3: Cross multiply
    11,405.28x = 15,678.85 × 9,806.03
  4. Step 4: Simplify right side
    11,405.28x = 153,747,273.47
  5. Step 5: Solve for x
    x = 153,747,273.47/11,405.28
  6. Step 6: Final answer
    x = 13,480.36

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Why These Related Problems?

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