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Finding the Fourth Proportional to 10,532.46, 14,537.07 and 7,183.27

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Solution

The fourth proportional to 10,532.46, 14,537.07 and 7,183.27 is: 9,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.46 : 14,537.07 = 7,183.27 : x
  2. Step 2: Convert to fraction form
    10,532.46/14,537.07 = 7,183.27/x
  3. Step 3: Cross multiply
    10,532.46x = 14,537.07 × 7,183.27
  4. Step 4: Simplify right side
    10,532.46x = 104,423,662.48
  5. Step 5: Solve for x
    x = 104,423,662.48/10,532.46
  6. Step 6: Final answer
    x = 9,914.46

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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.