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Finding the Fourth Proportional to 11,386.50, 15,713.37 and 6,418.50

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Solution

The fourth proportional to 11,386.50, 15,713.37 and 6,418.50 is: 8,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.50 : 15,713.37 = 6,418.50 : x
  2. Step 2: Convert to fraction form
    11,386.50/15,713.37 = 6,418.50/x
  3. Step 3: Cross multiply
    11,386.50x = 15,713.37 × 6,418.50
  4. Step 4: Simplify right side
    11,386.50x = 100,856,265.35
  5. Step 5: Solve for x
    x = 100,856,265.35/11,386.50
  6. Step 6: Final answer
    x = 8,857.53

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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.