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Finding the Fourth Proportional to 11,278.91, 15,564.50 and 6,243.14

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Solution

The fourth proportional to 11,278.91, 15,564.50 and 6,243.14 is: 8,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.91 : 15,564.50 = 6,243.14 : x
  2. Step 2: Convert to fraction form
    11,278.91/15,564.50 = 6,243.14/x
  3. Step 3: Cross multiply
    11,278.91x = 15,564.50 × 6,243.14
  4. Step 4: Simplify right side
    11,278.91x = 97,171,418.75
  5. Step 5: Solve for x
    x = 97,171,418.75/11,278.91
  6. Step 6: Final answer
    x = 8,615.32

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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.