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Finding the Fourth Proportional to 7,273.14, 10,909.70 and 2,343.16

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Solution

The fourth proportional to 7,273.14, 10,909.70 and 2,343.16 is: 3,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.14 : 10,909.70 = 2,343.16 : x
  2. Step 2: Convert to fraction form
    7,273.14/10,909.70 = 2,343.16/x
  3. Step 3: Cross multiply
    7,273.14x = 10,909.70 × 2,343.16
  4. Step 4: Simplify right side
    7,273.14x = 25,563,172.65
  5. Step 5: Solve for x
    x = 25,563,172.65/7,273.14
  6. Step 6: Final answer
    x = 3,514.74

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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.