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Finding the Fourth Proportional to 8,133.96, 11,224.76 and 4,776.18

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Solution

The fourth proportional to 8,133.96, 11,224.76 and 4,776.18 is: 6,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.96 : 11,224.76 = 4,776.18 : x
  2. Step 2: Convert to fraction form
    8,133.96/11,224.76 = 4,776.18/x
  3. Step 3: Cross multiply
    8,133.96x = 11,224.76 × 4,776.18
  4. Step 4: Simplify right side
    8,133.96x = 53,611,474.22
  5. Step 5: Solve for x
    x = 53,611,474.22/8,133.96
  6. Step 6: Final answer
    x = 6,591.07

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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.