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Finding the Fourth Proportional to 11,200.42, 15,456.95 and 6,164.88

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Solution

The fourth proportional to 11,200.42, 15,456.95 and 6,164.88 is: 8,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.42 : 15,456.95 = 6,164.88 : x
  2. Step 2: Convert to fraction form
    11,200.42/15,456.95 = 6,164.88/x
  3. Step 3: Cross multiply
    11,200.42x = 15,456.95 × 6,164.88
  4. Step 4: Simplify right side
    11,200.42x = 95,290,241.92
  5. Step 5: Solve for x
    x = 95,290,241.92/11,200.42
  6. Step 6: Final answer
    x = 8,507.74

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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.