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Finding the Fourth Proportional to 10,649.96, 15,975.60 and 3,254.42

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Solution

The fourth proportional to 10,649.96, 15,975.60 and 3,254.42 is: 4,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.96 : 15,975.60 = 3,254.42 : x
  2. Step 2: Convert to fraction form
    10,649.96/15,975.60 = 3,254.42/x
  3. Step 3: Cross multiply
    10,649.96x = 15,975.60 × 3,254.42
  4. Step 4: Simplify right side
    10,649.96x = 51,991,312.15
  5. Step 5: Solve for x
    x = 51,991,312.15/10,649.96
  6. Step 6: Final answer
    x = 4,881.83

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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.