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Finding the Fourth Proportional to 11,812, 16,300.24 and 6,506.76

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Solution

The fourth proportional to 11,812, 16,300.24 and 6,506.76 is: 8,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812 : 16,300.24 = 6,506.76 : x
  2. Step 2: Convert to fraction form
    11,812/16,300.24 = 6,506.76/x
  3. Step 3: Cross multiply
    11,812x = 16,300.24 × 6,506.76
  4. Step 4: Simplify right side
    11,812x = 106,061,749.62
  5. Step 5: Solve for x
    x = 106,061,749.62/11,812
  6. Step 6: Final answer
    x = 8,979.15

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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.