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Finding the Fourth Proportional to 10,234.69, 15,354.06 and 3,994.45

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Solution

The fourth proportional to 10,234.69, 15,354.06 and 3,994.45 is: 5,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.69 : 15,354.06 = 3,994.45 : x
  2. Step 2: Convert to fraction form
    10,234.69/15,354.06 = 3,994.45/x
  3. Step 3: Cross multiply
    10,234.69x = 15,354.06 × 3,994.45
  4. Step 4: Simplify right side
    10,234.69x = 61,331,024.97
  5. Step 5: Solve for x
    x = 61,331,024.97/10,234.69
  6. Step 6: Final answer
    x = 5,992.47

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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.