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Finding the Fourth Proportional to 11,554.14, 15,948.80 and 6,838.41

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Solution

The fourth proportional to 11,554.14, 15,948.80 and 6,838.41 is: 9,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.14 : 15,948.80 = 6,838.41 : x
  2. Step 2: Convert to fraction form
    11,554.14/15,948.80 = 6,838.41/x
  3. Step 3: Cross multiply
    11,554.14x = 15,948.80 × 6,838.41
  4. Step 4: Simplify right side
    11,554.14x = 109,064,433.41
  5. Step 5: Solve for x
    x = 109,064,433.41/11,554.14
  6. Step 6: Final answer
    x = 9,439.42

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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.