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Finding the Fourth Proportional to 11,948.81, 16,496.73 and 7,701.37

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Solution

The fourth proportional to 11,948.81, 16,496.73 and 7,701.37 is: 10,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.81 : 16,496.73 = 7,701.37 : x
  2. Step 2: Convert to fraction form
    11,948.81/16,496.73 = 7,701.37/x
  3. Step 3: Cross multiply
    11,948.81x = 16,496.73 × 7,701.37
  4. Step 4: Simplify right side
    11,948.81x = 127,047,380.28
  5. Step 5: Solve for x
    x = 127,047,380.28/11,948.81
  6. Step 6: Final answer
    x = 10,632.64

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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.