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Finding the Fourth Proportional to 10,214.68, 15,321.66 and 3,289

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Solution

The fourth proportional to 10,214.68, 15,321.66 and 3,289 is: 4,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.68 : 15,321.66 = 3,289 : x
  2. Step 2: Convert to fraction form
    10,214.68/15,321.66 = 3,289/x
  3. Step 3: Cross multiply
    10,214.68x = 15,321.66 × 3,289
  4. Step 4: Simplify right side
    10,214.68x = 50,392,939.74
  5. Step 5: Solve for x
    x = 50,392,939.74/10,214.68
  6. Step 6: Final answer
    x = 4,933.38

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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.