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Finding the Fourth Proportional to 11,847.77, 16,353.06 and 6,812.56

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Solution

The fourth proportional to 11,847.77, 16,353.06 and 6,812.56 is: 9,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.77 : 16,353.06 = 6,812.56 : x
  2. Step 2: Convert to fraction form
    11,847.77/16,353.06 = 6,812.56/x
  3. Step 3: Cross multiply
    11,847.77x = 16,353.06 × 6,812.56
  4. Step 4: Simplify right side
    11,847.77x = 111,406,162.82
  5. Step 5: Solve for x
    x = 111,406,162.82/11,847.77
  6. Step 6: Final answer
    x = 9,403.13

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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.