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Finding the Fourth Proportional to 11,812.85, 16,301.13 and 6,507.56

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Solution

The fourth proportional to 11,812.85, 16,301.13 and 6,507.56 is: 8,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.85 : 16,301.13 = 6,507.56 : x
  2. Step 2: Convert to fraction form
    11,812.85/16,301.13 = 6,507.56/x
  3. Step 3: Cross multiply
    11,812.85x = 16,301.13 × 6,507.56
  4. Step 4: Simplify right side
    11,812.85x = 106,080,500.04
  5. Step 5: Solve for x
    x = 106,080,500.04/11,812.85
  6. Step 6: Final answer
    x = 8,980.10

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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.