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Finding the Fourth Proportional to 11,812.91, 16,301.21 and 6,507.61

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Solution

The fourth proportional to 11,812.91, 16,301.21 and 6,507.61 is: 8,980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.91 : 16,301.21 = 6,507.61 : x
  2. Step 2: Convert to fraction form
    11,812.91/16,301.21 = 6,507.61/x
  3. Step 3: Cross multiply
    11,812.91x = 16,301.21 × 6,507.61
  4. Step 4: Simplify right side
    11,812.91x = 106,081,917.21
  5. Step 5: Solve for x
    x = 106,081,917.21/11,812.91
  6. Step 6: Final answer
    x = 8,980.17

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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.