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Finding the Fourth Proportional to 11,707.29, 16,157.14 and 6,991.47

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Solution

The fourth proportional to 11,707.29, 16,157.14 and 6,991.47 is: 9,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.29 : 16,157.14 = 6,991.47 : x
  2. Step 2: Convert to fraction form
    11,707.29/16,157.14 = 6,991.47/x
  3. Step 3: Cross multiply
    11,707.29x = 16,157.14 × 6,991.47
  4. Step 4: Simplify right side
    11,707.29x = 112,962,142.12
  5. Step 5: Solve for x
    x = 112,962,142.12/11,707.29
  6. Step 6: Final answer
    x = 9,648.87

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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.