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Finding the Fourth Proportional to 10,433.81, 14,399.97 and 6,185.81

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Solution

The fourth proportional to 10,433.81, 14,399.97 and 6,185.81 is: 8,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.81 : 14,399.97 = 6,185.81 : x
  2. Step 2: Convert to fraction form
    10,433.81/14,399.97 = 6,185.81/x
  3. Step 3: Cross multiply
    10,433.81x = 14,399.97 × 6,185.81
  4. Step 4: Simplify right side
    10,433.81x = 89,075,478.43
  5. Step 5: Solve for x
    x = 89,075,478.43/10,433.81
  6. Step 6: Final answer
    x = 8,537.20

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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.