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Finding the Fourth Proportional to 11,527.49, 15,915.62 and 6,813.29

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Solution

The fourth proportional to 11,527.49, 15,915.62 and 6,813.29 is: 9,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.49 : 15,915.62 = 6,813.29 : x
  2. Step 2: Convert to fraction form
    11,527.49/15,915.62 = 6,813.29/x
  3. Step 3: Cross multiply
    11,527.49x = 15,915.62 × 6,813.29
  4. Step 4: Simplify right side
    11,527.49x = 108,437,734.59
  5. Step 5: Solve for x
    x = 108,437,734.59/11,527.49
  6. Step 6: Final answer
    x = 9,406.88

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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.