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Finding the Fourth Proportional to 12,410.76, 17,141.46 and 8,211.72

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Solution

The fourth proportional to 12,410.76, 17,141.46 and 8,211.72 is: 11,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.76 : 17,141.46 = 8,211.72 : x
  2. Step 2: Convert to fraction form
    12,410.76/17,141.46 = 8,211.72/x
  3. Step 3: Cross multiply
    12,410.76x = 17,141.46 × 8,211.72
  4. Step 4: Simplify right side
    12,410.76x = 140,760,869.91
  5. Step 5: Solve for x
    x = 140,760,869.91/12,410.76
  6. Step 6: Final answer
    x = 11,341.84

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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.