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Finding the Fourth Proportional to 10,522.81, 14,516.89 and 6,933.16

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Solution

The fourth proportional to 10,522.81, 14,516.89 and 6,933.16 is: 9,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.81 : 14,516.89 = 6,933.16 : x
  2. Step 2: Convert to fraction form
    10,522.81/14,516.89 = 6,933.16/x
  3. Step 3: Cross multiply
    10,522.81x = 14,516.89 × 6,933.16
  4. Step 4: Simplify right side
    10,522.81x = 100,647,941.39
  5. Step 5: Solve for x
    x = 100,647,941.39/10,522.81
  6. Step 6: Final answer
    x = 9,564.74

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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.