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Finding the Fourth Proportional to 11,406.28, 15,680.22 and 9,807.03

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Solution

The fourth proportional to 11,406.28, 15,680.22 and 9,807.03 is: 13,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.28 : 15,680.22 = 9,807.03 : x
  2. Step 2: Convert to fraction form
    11,406.28/15,680.22 = 9,807.03/x
  3. Step 3: Cross multiply
    11,406.28x = 15,680.22 × 9,807.03
  4. Step 4: Simplify right side
    11,406.28x = 153,776,387.95
  5. Step 5: Solve for x
    x = 153,776,387.95/11,406.28
  6. Step 6: Final answer
    x = 13,481.73

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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.