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Finding the Fourth Proportional to 11,812.95, 16,301.97 and 6,507.78

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Solution

The fourth proportional to 11,812.95, 16,301.97 and 6,507.78 is: 8,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.95 : 16,301.97 = 6,507.78 : x
  2. Step 2: Convert to fraction form
    11,812.95/16,301.97 = 6,507.78/x
  3. Step 3: Cross multiply
    11,812.95x = 16,301.97 × 6,507.78
  4. Step 4: Simplify right side
    11,812.95x = 106,089,634.33
  5. Step 5: Solve for x
    x = 106,089,634.33/11,812.95
  6. Step 6: Final answer
    x = 8,980.79

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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.