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Finding the Fourth Proportional to 11,342.08, 15,647.70 and 8,364.97

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Solution

The fourth proportional to 11,342.08, 15,647.70 and 8,364.97 is: 11,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.08 : 15,647.70 = 8,364.97 : x
  2. Step 2: Convert to fraction form
    11,342.08/15,647.70 = 8,364.97/x
  3. Step 3: Cross multiply
    11,342.08x = 15,647.70 × 8,364.97
  4. Step 4: Simplify right side
    11,342.08x = 130,892,541.07
  5. Step 5: Solve for x
    x = 130,892,541.07/11,342.08
  6. Step 6: Final answer
    x = 11,540.44

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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.