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Finding the Fourth Proportional to 7,329.30, 10,997.60 and 3,434.01

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Solution

The fourth proportional to 7,329.30, 10,997.60 and 3,434.01 is: 5,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.30 : 10,997.60 = 3,434.01 : x
  2. Step 2: Convert to fraction form
    7,329.30/10,997.60 = 3,434.01/x
  3. Step 3: Cross multiply
    7,329.30x = 10,997.60 × 3,434.01
  4. Step 4: Simplify right side
    7,329.30x = 37,765,851.21
  5. Step 5: Solve for x
    x = 37,765,851.21/7,329.30
  6. Step 6: Final answer
    x = 5,152.72

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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.