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Finding the Fourth Proportional to 11,446.80, 15,876.06 and 11,228.10

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Solution

The fourth proportional to 11,446.80, 15,876.06 and 11,228.10 is: 15,572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.80 : 15,876.06 = 11,228.10 : x
  2. Step 2: Convert to fraction form
    11,446.80/15,876.06 = 11,228.10/x
  3. Step 3: Cross multiply
    11,446.80x = 15,876.06 × 11,228.10
  4. Step 4: Simplify right side
    11,446.80x = 178,257,989.29
  5. Step 5: Solve for x
    x = 178,257,989.29/11,446.80
  6. Step 6: Final answer
    x = 15,572.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.