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Finding the Fourth Proportional to 8,389.81, 11,571.64 and 8,017.57

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Solution

The fourth proportional to 8,389.81, 11,571.64 and 8,017.57 is: 11,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.81 : 11,571.64 = 8,017.57 : x
  2. Step 2: Convert to fraction form
    8,389.81/11,571.64 = 8,017.57/x
  3. Step 3: Cross multiply
    8,389.81x = 11,571.64 × 8,017.57
  4. Step 4: Simplify right side
    8,389.81x = 92,776,433.71
  5. Step 5: Solve for x
    x = 92,776,433.71/8,389.81
  6. Step 6: Final answer
    x = 11,058.23

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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.