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Finding the Fourth Proportional to 13,080.68, 19,609.05 and 5,682.47

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Solution

The fourth proportional to 13,080.68, 19,609.05 and 5,682.47 is: 8,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.68 : 19,609.05 = 5,682.47 : x
  2. Step 2: Convert to fraction form
    13,080.68/19,609.05 = 5,682.47/x
  3. Step 3: Cross multiply
    13,080.68x = 19,609.05 × 5,682.47
  4. Step 4: Simplify right side
    13,080.68x = 111,427,740.31
  5. Step 5: Solve for x
    x = 111,427,740.31/13,080.68
  6. Step 6: Final answer
    x = 8,518.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.