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Finding the Fourth Proportional to 10,234.50, 15,342.03 and 3,989.94

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Solution

The fourth proportional to 10,234.50, 15,342.03 and 3,989.94 is: 5,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.50 : 15,342.03 = 3,989.94 : x
  2. Step 2: Convert to fraction form
    10,234.50/15,342.03 = 3,989.94/x
  3. Step 3: Cross multiply
    10,234.50x = 15,342.03 × 3,989.94
  4. Step 4: Simplify right side
    10,234.50x = 61,213,779.18
  5. Step 5: Solve for x
    x = 61,213,779.18/10,234.50
  6. Step 6: Final answer
    x = 5,981.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.