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Finding the Fourth Proportional to 11,143.46, 16,780.74 and 8,045.20

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Solution

The fourth proportional to 11,143.46, 16,780.74 and 8,045.20 is: 12,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.46 : 16,780.74 = 8,045.20 : x
  2. Step 2: Convert to fraction form
    11,143.46/16,780.74 = 8,045.20/x
  3. Step 3: Cross multiply
    11,143.46x = 16,780.74 × 8,045.20
  4. Step 4: Simplify right side
    11,143.46x = 135,004,409.45
  5. Step 5: Solve for x
    x = 135,004,409.45/11,143.46
  6. Step 6: Final answer
    x = 12,115.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.