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Finding the Fourth Proportional to 7,026.58, 10,539.87 and 2,409.62

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Solution

The fourth proportional to 7,026.58, 10,539.87 and 2,409.62 is: 3,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.58 : 10,539.87 = 2,409.62 : x
  2. Step 2: Convert to fraction form
    7,026.58/10,539.87 = 2,409.62/x
  3. Step 3: Cross multiply
    7,026.58x = 10,539.87 × 2,409.62
  4. Step 4: Simplify right side
    7,026.58x = 25,397,081.55
  5. Step 5: Solve for x
    x = 25,397,081.55/7,026.58
  6. Step 6: Final answer
    x = 3,614.43

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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.