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Finding the Fourth Proportional to 11,808.81, 17,695.37 and 7,123.62

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Solution

The fourth proportional to 11,808.81, 17,695.37 and 7,123.62 is: 10,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.81 : 17,695.37 = 7,123.62 : x
  2. Step 2: Convert to fraction form
    11,808.81/17,695.37 = 7,123.62/x
  3. Step 3: Cross multiply
    11,808.81x = 17,695.37 × 7,123.62
  4. Step 4: Simplify right side
    11,808.81x = 126,054,967.54
  5. Step 5: Solve for x
    x = 126,054,967.54/11,808.81
  6. Step 6: Final answer
    x = 10,674.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.