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Finding the Fourth Proportional to 10,290.62, 15,402.26 and 5,598.92

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Solution

The fourth proportional to 10,290.62, 15,402.26 and 5,598.92 is: 8,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.62 : 15,402.26 = 5,598.92 : x
  2. Step 2: Convert to fraction form
    10,290.62/15,402.26 = 5,598.92/x
  3. Step 3: Cross multiply
    10,290.62x = 15,402.26 × 5,598.92
  4. Step 4: Simplify right side
    10,290.62x = 86,236,021.56
  5. Step 5: Solve for x
    x = 86,236,021.56/10,290.62
  6. Step 6: Final answer
    x = 8,380.06

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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.