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Finding the Fourth Proportional to 7,340.64, 11,005.14 and 2,659.92

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Solution

The fourth proportional to 7,340.64, 11,005.14 and 2,659.92 is: 3,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.64 : 11,005.14 = 2,659.92 : x
  2. Step 2: Convert to fraction form
    7,340.64/11,005.14 = 2,659.92/x
  3. Step 3: Cross multiply
    7,340.64x = 11,005.14 × 2,659.92
  4. Step 4: Simplify right side
    7,340.64x = 29,272,791.99
  5. Step 5: Solve for x
    x = 29,272,791.99/7,340.64
  6. Step 6: Final answer
    x = 3,987.77

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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.