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Finding the Fourth Proportional to 11,502.80, 17,254.56 and 3,711.68

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Solution

The fourth proportional to 11,502.80, 17,254.56 and 3,711.68 is: 5,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.80 : 17,254.56 = 3,711.68 : x
  2. Step 2: Convert to fraction form
    11,502.80/17,254.56 = 3,711.68/x
  3. Step 3: Cross multiply
    11,502.80x = 17,254.56 × 3,711.68
  4. Step 4: Simplify right side
    11,502.80x = 64,043,405.26
  5. Step 5: Solve for x
    x = 64,043,405.26/11,502.80
  6. Step 6: Final answer
    x = 5,567.64

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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.