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Finding the Fourth Proportional to 8,190.81, 11,304.63 and 4,655.16

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Solution

The fourth proportional to 8,190.81, 11,304.63 and 4,655.16 is: 6,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.81 : 11,304.63 = 4,655.16 : x
  2. Step 2: Convert to fraction form
    8,190.81/11,304.63 = 4,655.16/x
  3. Step 3: Cross multiply
    8,190.81x = 11,304.63 × 4,655.16
  4. Step 4: Simplify right side
    8,190.81x = 52,624,861.39
  5. Step 5: Solve for x
    x = 52,624,861.39/8,190.81
  6. Step 6: Final answer
    x = 6,424.87

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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.