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Finding the Fourth Proportional to 10,369.10, 15,536.55 and 5,978.90

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Solution

The fourth proportional to 10,369.10, 15,536.55 and 5,978.90 is: 8,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.10 : 15,536.55 = 5,978.90 : x
  2. Step 2: Convert to fraction form
    10,369.10/15,536.55 = 5,978.90/x
  3. Step 3: Cross multiply
    10,369.10x = 15,536.55 × 5,978.90
  4. Step 4: Simplify right side
    10,369.10x = 92,891,478.80
  5. Step 5: Solve for x
    x = 92,891,478.80/10,369.10
  6. Step 6: Final answer
    x = 8,958.49

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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.