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Finding the Fourth Proportional to 11,554.56, 15,946.20 and 6,841.44

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Solution

The fourth proportional to 11,554.56, 15,946.20 and 6,841.44 is: 9,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.56 : 15,946.20 = 6,841.44 : x
  2. Step 2: Convert to fraction form
    11,554.56/15,946.20 = 6,841.44/x
  3. Step 3: Cross multiply
    11,554.56x = 15,946.20 × 6,841.44
  4. Step 4: Simplify right side
    11,554.56x = 109,094,970.53
  5. Step 5: Solve for x
    x = 109,094,970.53/11,554.56
  6. Step 6: Final answer
    x = 9,441.72

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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.