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Finding the Fourth Proportional to 11,812.23, 16,300.94 and 6,507.54

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Solution

The fourth proportional to 11,812.23, 16,300.94 and 6,507.54 is: 8,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.23 : 16,300.94 = 6,507.54 : x
  2. Step 2: Convert to fraction form
    11,812.23/16,300.94 = 6,507.54/x
  3. Step 3: Cross multiply
    11,812.23x = 16,300.94 × 6,507.54
  4. Step 4: Simplify right side
    11,812.23x = 106,078,986.55
  5. Step 5: Solve for x
    x = 106,078,986.55/11,812.23
  6. Step 6: Final answer
    x = 8,980.44

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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.