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Finding the Fourth Proportional to 11,812.43, 16,301.15 and 6,507.20

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Solution

The fourth proportional to 11,812.43, 16,301.15 and 6,507.20 is: 8,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.43 : 16,301.15 = 6,507.20 : x
  2. Step 2: Convert to fraction form
    11,812.43/16,301.15 = 6,507.20/x
  3. Step 3: Cross multiply
    11,812.43x = 16,301.15 × 6,507.20
  4. Step 4: Simplify right side
    11,812.43x = 106,074,729.24
  5. Step 5: Solve for x
    x = 106,074,729.24/11,812.43
  6. Step 6: Final answer
    x = 8,979.93

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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.