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Finding the Fourth Proportional to 10,159.75, 15,239.76 and 3,234.25

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Solution

The fourth proportional to 10,159.75, 15,239.76 and 3,234.25 is: 4,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.75 : 15,239.76 = 3,234.25 : x
  2. Step 2: Convert to fraction form
    10,159.75/15,239.76 = 3,234.25/x
  3. Step 3: Cross multiply
    10,159.75x = 15,239.76 × 3,234.25
  4. Step 4: Simplify right side
    10,159.75x = 49,289,193.78
  5. Step 5: Solve for x
    x = 49,289,193.78/10,159.75
  6. Step 6: Final answer
    x = 4,851.42

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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.