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Finding the Fourth Proportional to 11,343.64, 15,653.82 and 6,631

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Solution

The fourth proportional to 11,343.64, 15,653.82 and 6,631 is: 9,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.64 : 15,653.82 = 6,631 : x
  2. Step 2: Convert to fraction form
    11,343.64/15,653.82 = 6,631/x
  3. Step 3: Cross multiply
    11,343.64x = 15,653.82 × 6,631
  4. Step 4: Simplify right side
    11,343.64x = 103,800,480.42
  5. Step 5: Solve for x
    x = 103,800,480.42/11,343.64
  6. Step 6: Final answer
    x = 9,150.54

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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.