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Finding the Fourth Proportional to 7,154.32, 10,729.84 and 1,960.60

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Solution

The fourth proportional to 7,154.32, 10,729.84 and 1,960.60 is: 2,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.32 : 10,729.84 = 1,960.60 : x
  2. Step 2: Convert to fraction form
    7,154.32/10,729.84 = 1,960.60/x
  3. Step 3: Cross multiply
    7,154.32x = 10,729.84 × 1,960.60
  4. Step 4: Simplify right side
    7,154.32x = 21,036,924.30
  5. Step 5: Solve for x
    x = 21,036,924.30/7,154.32
  6. Step 6: Final answer
    x = 2,940.45

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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.