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Finding the Fourth Proportional to 11,202.11, 15,461.09 and 6,424.88

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Solution

The fourth proportional to 11,202.11, 15,461.09 and 6,424.88 is: 8,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.11 : 15,461.09 = 6,424.88 : x
  2. Step 2: Convert to fraction form
    11,202.11/15,461.09 = 6,424.88/x
  3. Step 3: Cross multiply
    11,202.11x = 15,461.09 × 6,424.88
  4. Step 4: Simplify right side
    11,202.11x = 99,335,615.79
  5. Step 5: Solve for x
    x = 99,335,615.79/11,202.11
  6. Step 6: Final answer
    x = 8,867.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.