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Finding the Fourth Proportional to 11,294.56, 15,584.40 and 6,326.56

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Solution

The fourth proportional to 11,294.56, 15,584.40 and 6,326.56 is: 8,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.56 : 15,584.40 = 6,326.56 : x
  2. Step 2: Convert to fraction form
    11,294.56/15,584.40 = 6,326.56/x
  3. Step 3: Cross multiply
    11,294.56x = 15,584.40 × 6,326.56
  4. Step 4: Simplify right side
    11,294.56x = 98,595,641.66
  5. Step 5: Solve for x
    x = 98,595,641.66/11,294.56
  6. Step 6: Final answer
    x = 8,729.48

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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.