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Finding the Fourth Proportional to 13,103.08, 18,080.22 and 7,513

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Solution

The fourth proportional to 13,103.08, 18,080.22 and 7,513 is: 10,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.08 : 18,080.22 = 7,513 : x
  2. Step 2: Convert to fraction form
    13,103.08/18,080.22 = 7,513/x
  3. Step 3: Cross multiply
    13,103.08x = 18,080.22 × 7,513
  4. Step 4: Simplify right side
    13,103.08x = 135,836,655.30
  5. Step 5: Solve for x
    x = 135,836,655.30/13,103.08
  6. Step 6: Final answer
    x = 10,366.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.