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Finding the Fourth Proportional to 11,812.06, 16,300.17 and 6,506.50

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Solution

The fourth proportional to 11,812.06, 16,300.17 and 6,506.50 is: 8,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.06 : 16,300.17 = 6,506.50 : x
  2. Step 2: Convert to fraction form
    11,812.06/16,300.17 = 6,506.50/x
  3. Step 3: Cross multiply
    11,812.06x = 16,300.17 × 6,506.50
  4. Step 4: Simplify right side
    11,812.06x = 106,057,056.11
  5. Step 5: Solve for x
    x = 106,057,056.11/11,812.06
  6. Step 6: Final answer
    x = 8,978.71

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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.