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Finding the Fourth Proportional to 11,311.25, 15,609.42 and 6,275.48

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Solution

The fourth proportional to 11,311.25, 15,609.42 and 6,275.48 is: 8,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.25 : 15,609.42 = 6,275.48 : x
  2. Step 2: Convert to fraction form
    11,311.25/15,609.42 = 6,275.48/x
  3. Step 3: Cross multiply
    11,311.25x = 15,609.42 × 6,275.48
  4. Step 4: Simplify right side
    11,311.25x = 97,956,524.97
  5. Step 5: Solve for x
    x = 97,956,524.97/11,311.25
  6. Step 6: Final answer
    x = 8,660.10

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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.