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Finding the Fourth Proportional to 11,712.51, 16,169.10 and 7,955.46

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Solution

The fourth proportional to 11,712.51, 16,169.10 and 7,955.46 is: 10,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.51 : 16,169.10 = 7,955.46 : x
  2. Step 2: Convert to fraction form
    11,712.51/16,169.10 = 7,955.46/x
  3. Step 3: Cross multiply
    11,712.51x = 16,169.10 × 7,955.46
  4. Step 4: Simplify right side
    11,712.51x = 128,632,628.29
  5. Step 5: Solve for x
    x = 128,632,628.29/11,712.51
  6. Step 6: Final answer
    x = 10,982.50

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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.