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Finding the Fourth Proportional to 10,366.26, 15,538.09 and 5,090.80

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Solution

The fourth proportional to 10,366.26, 15,538.09 and 5,090.80 is: 7,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.26 : 15,538.09 = 5,090.80 : x
  2. Step 2: Convert to fraction form
    10,366.26/15,538.09 = 5,090.80/x
  3. Step 3: Cross multiply
    10,366.26x = 15,538.09 × 5,090.80
  4. Step 4: Simplify right side
    10,366.26x = 79,101,308.57
  5. Step 5: Solve for x
    x = 79,101,308.57/10,366.26
  6. Step 6: Final answer
    x = 7,630.65

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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.