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Finding the Fourth Proportional to 11,294.64, 15,576.48 and 6,816.78

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Solution

The fourth proportional to 11,294.64, 15,576.48 and 6,816.78 is: 9,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.64 : 15,576.48 = 6,816.78 : x
  2. Step 2: Convert to fraction form
    11,294.64/15,576.48 = 6,816.78/x
  3. Step 3: Cross multiply
    11,294.64x = 15,576.48 × 6,816.78
  4. Step 4: Simplify right side
    11,294.64x = 106,181,437.33
  5. Step 5: Solve for x
    x = 106,181,437.33/11,294.64
  6. Step 6: Final answer
    x = 9,401.05

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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.