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Finding the Fourth Proportional to 11,402.64, 17,099.52 and 3,502.80

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Solution

The fourth proportional to 11,402.64, 17,099.52 and 3,502.80 is: 5,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.64 : 17,099.52 = 3,502.80 : x
  2. Step 2: Convert to fraction form
    11,402.64/17,099.52 = 3,502.80/x
  3. Step 3: Cross multiply
    11,402.64x = 17,099.52 × 3,502.80
  4. Step 4: Simplify right side
    11,402.64x = 59,896,198.66
  5. Step 5: Solve for x
    x = 59,896,198.66/11,402.64
  6. Step 6: Final answer
    x = 5,252.84

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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.