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Finding the Fourth Proportional to 10,650.34, 15,975.17 and 3,254.50

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Solution

The fourth proportional to 10,650.34, 15,975.17 and 3,254.50 is: 4,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.34 : 15,975.17 = 3,254.50 : x
  2. Step 2: Convert to fraction form
    10,650.34/15,975.17 = 3,254.50/x
  3. Step 3: Cross multiply
    10,650.34x = 15,975.17 × 3,254.50
  4. Step 4: Simplify right side
    10,650.34x = 51,991,190.77
  5. Step 5: Solve for x
    x = 51,991,190.77/10,650.34
  6. Step 6: Final answer
    x = 4,881.65

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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.