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Finding the Fourth Proportional to 7,468.92, 11,206.26 and 2,539.80

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Solution

The fourth proportional to 7,468.92, 11,206.26 and 2,539.80 is: 3,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.92 : 11,206.26 = 2,539.80 : x
  2. Step 2: Convert to fraction form
    7,468.92/11,206.26 = 2,539.80/x
  3. Step 3: Cross multiply
    7,468.92x = 11,206.26 × 2,539.80
  4. Step 4: Simplify right side
    7,468.92x = 28,461,659.15
  5. Step 5: Solve for x
    x = 28,461,659.15/7,468.92
  6. Step 6: Final answer
    x = 3,810.68

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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.