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Finding the Fourth Proportional to 7,274.60, 10,911.96 and 4,509.32

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Solution

The fourth proportional to 7,274.60, 10,911.96 and 4,509.32 is: 6,764.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.60 : 10,911.96 = 4,509.32 : x
  2. Step 2: Convert to fraction form
    7,274.60/10,911.96 = 4,509.32/x
  3. Step 3: Cross multiply
    7,274.60x = 10,911.96 × 4,509.32
  4. Step 4: Simplify right side
    7,274.60x = 49,205,519.47
  5. Step 5: Solve for x
    x = 49,205,519.47/7,274.60
  6. Step 6: Final answer
    x = 6,764.02

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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.