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Finding the Fourth Proportional to 10,137.96, 15,208.57 and 4,295.43

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Solution

The fourth proportional to 10,137.96, 15,208.57 and 4,295.43 is: 6,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.96 : 15,208.57 = 4,295.43 : x
  2. Step 2: Convert to fraction form
    10,137.96/15,208.57 = 4,295.43/x
  3. Step 3: Cross multiply
    10,137.96x = 15,208.57 × 4,295.43
  4. Step 4: Simplify right side
    10,137.96x = 65,327,337.10
  5. Step 5: Solve for x
    x = 65,327,337.10/10,137.96
  6. Step 6: Final answer
    x = 6,443.83

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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.