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Finding the Fourth Proportional to 11,707.54, 16,157.48 and 6,991.72

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Solution

The fourth proportional to 11,707.54, 16,157.48 and 6,991.72 is: 9,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.54 : 16,157.48 = 6,991.72 : x
  2. Step 2: Convert to fraction form
    11,707.54/16,157.48 = 6,991.72/x
  3. Step 3: Cross multiply
    11,707.54x = 16,157.48 × 6,991.72
  4. Step 4: Simplify right side
    11,707.54x = 112,968,593.54
  5. Step 5: Solve for x
    x = 112,968,593.54/11,707.54
  6. Step 6: Final answer
    x = 9,649.22

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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.