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Finding the Fourth Proportional to 10,519.96, 15,800.95 and 6,578.23

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Solution

The fourth proportional to 10,519.96, 15,800.95 and 6,578.23 is: 9,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.96 : 15,800.95 = 6,578.23 : x
  2. Step 2: Convert to fraction form
    10,519.96/15,800.95 = 6,578.23/x
  3. Step 3: Cross multiply
    10,519.96x = 15,800.95 × 6,578.23
  4. Step 4: Simplify right side
    10,519.96x = 103,942,204.31
  5. Step 5: Solve for x
    x = 103,942,204.31/10,519.96
  6. Step 6: Final answer
    x = 9,880.48

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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.