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Finding the Fourth Proportional to 11,812.86, 16,301.13 and 6,507.54

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Solution

The fourth proportional to 11,812.86, 16,301.13 and 6,507.54 is: 8,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.86 : 16,301.13 = 6,507.54 : x
  2. Step 2: Convert to fraction form
    11,812.86/16,301.13 = 6,507.54/x
  3. Step 3: Cross multiply
    11,812.86x = 16,301.13 × 6,507.54
  4. Step 4: Simplify right side
    11,812.86x = 106,080,255.52
  5. Step 5: Solve for x
    x = 106,080,255.52/11,812.86
  6. Step 6: Final answer
    x = 8,980.07

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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.