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Finding the Fourth Proportional to 10,682.90, 16,018.47 and 3,285.30

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Solution

The fourth proportional to 10,682.90, 16,018.47 and 3,285.30 is: 4,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.90 : 16,018.47 = 3,285.30 : x
  2. Step 2: Convert to fraction form
    10,682.90/16,018.47 = 3,285.30/x
  3. Step 3: Cross multiply
    10,682.90x = 16,018.47 × 3,285.30
  4. Step 4: Simplify right side
    10,682.90x = 52,625,479.49
  5. Step 5: Solve for x
    x = 52,625,479.49/10,682.90
  6. Step 6: Final answer
    x = 4,926.14

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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.