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Finding the Fourth Proportional to 11,491.96, 15,859.86 and 6,777.16

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Solution

The fourth proportional to 11,491.96, 15,859.86 and 6,777.16 is: 9,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.96 : 15,859.86 = 6,777.16 : x
  2. Step 2: Convert to fraction form
    11,491.96/15,859.86 = 6,777.16/x
  3. Step 3: Cross multiply
    11,491.96x = 15,859.86 × 6,777.16
  4. Step 4: Simplify right side
    11,491.96x = 107,484,808.80
  5. Step 5: Solve for x
    x = 107,484,808.80/11,491.96
  6. Step 6: Final answer
    x = 9,353.04

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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.