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Finding the Fourth Proportional to 7,564.64, 11,346.96 and 2,299.69

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Solution

The fourth proportional to 7,564.64, 11,346.96 and 2,299.69 is: 3,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.64 : 11,346.96 = 2,299.69 : x
  2. Step 2: Convert to fraction form
    7,564.64/11,346.96 = 2,299.69/x
  3. Step 3: Cross multiply
    7,564.64x = 11,346.96 × 2,299.69
  4. Step 4: Simplify right side
    7,564.64x = 26,094,490.44
  5. Step 5: Solve for x
    x = 26,094,490.44/7,564.64
  6. Step 6: Final answer
    x = 3,449.54

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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.