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Finding the Fourth Proportional to 11,812.13, 16,300.74 and 6,506.93

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Solution

The fourth proportional to 11,812.13, 16,300.74 and 6,506.93 is: 8,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.13 : 16,300.74 = 6,506.93 : x
  2. Step 2: Convert to fraction form
    11,812.13/16,300.74 = 6,506.93/x
  3. Step 3: Cross multiply
    11,812.13x = 16,300.74 × 6,506.93
  4. Step 4: Simplify right side
    11,812.13x = 106,067,692.62
  5. Step 5: Solve for x
    x = 106,067,692.62/11,812.13
  6. Step 6: Final answer
    x = 8,979.56

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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.