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Finding the Fourth Proportional to 7,153.82, 10,729.09 and 1,960.10

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Solution

The fourth proportional to 7,153.82, 10,729.09 and 1,960.10 is: 2,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.82 : 10,729.09 = 1,960.10 : x
  2. Step 2: Convert to fraction form
    7,153.82/10,729.09 = 1,960.10/x
  3. Step 3: Cross multiply
    7,153.82x = 10,729.09 × 1,960.10
  4. Step 4: Simplify right side
    7,153.82x = 21,030,089.31
  5. Step 5: Solve for x
    x = 21,030,089.31/7,153.82
  6. Step 6: Final answer
    x = 2,939.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.