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Finding the Fourth Proportional to 11,427.21, 15,769.65 and 6,322.66

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Solution

The fourth proportional to 11,427.21, 15,769.65 and 6,322.66 is: 8,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.21 : 15,769.65 = 6,322.66 : x
  2. Step 2: Convert to fraction form
    11,427.21/15,769.65 = 6,322.66/x
  3. Step 3: Cross multiply
    11,427.21x = 15,769.65 × 6,322.66
  4. Step 4: Simplify right side
    11,427.21x = 99,706,119.55
  5. Step 5: Solve for x
    x = 99,706,119.55/11,427.21
  6. Step 6: Final answer
    x = 8,725.32

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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.