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Finding the Fourth Proportional to 7,296.96, 10,947 and 3,346.32

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Solution

The fourth proportional to 7,296.96, 10,947 and 3,346.32 is: 5,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.96 : 10,947 = 3,346.32 : x
  2. Step 2: Convert to fraction form
    7,296.96/10,947 = 3,346.32/x
  3. Step 3: Cross multiply
    7,296.96x = 10,947 × 3,346.32
  4. Step 4: Simplify right side
    7,296.96x = 36,632,165.04
  5. Step 5: Solve for x
    x = 36,632,165.04/7,296.96
  6. Step 6: Final answer
    x = 5,020.20

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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.