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Finding the Fourth Proportional to 11,707.62, 16,145.73 and 7,672.98

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Solution

The fourth proportional to 11,707.62, 16,145.73 and 7,672.98 is: 10,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.62 : 16,145.73 = 7,672.98 : x
  2. Step 2: Convert to fraction form
    11,707.62/16,145.73 = 7,672.98/x
  3. Step 3: Cross multiply
    11,707.62x = 16,145.73 × 7,672.98
  4. Step 4: Simplify right side
    11,707.62x = 123,885,892.15
  5. Step 5: Solve for x
    x = 123,885,892.15/11,707.62
  6. Step 6: Final answer
    x = 10,581.64

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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.