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Finding the Fourth Proportional to 10,173.68, 15,260.64 and 2,778.24

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Solution

The fourth proportional to 10,173.68, 15,260.64 and 2,778.24 is: 4,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.68 : 15,260.64 = 2,778.24 : x
  2. Step 2: Convert to fraction form
    10,173.68/15,260.64 = 2,778.24/x
  3. Step 3: Cross multiply
    10,173.68x = 15,260.64 × 2,778.24
  4. Step 4: Simplify right side
    10,173.68x = 42,397,720.47
  5. Step 5: Solve for x
    x = 42,397,720.47/10,173.68
  6. Step 6: Final answer
    x = 4,167.39

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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.