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Finding the Fourth Proportional to 10,775.30, 16,162.80 and 4,206.10

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Solution

The fourth proportional to 10,775.30, 16,162.80 and 4,206.10 is: 6,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.30 : 16,162.80 = 4,206.10 : x
  2. Step 2: Convert to fraction form
    10,775.30/16,162.80 = 4,206.10/x
  3. Step 3: Cross multiply
    10,775.30x = 16,162.80 × 4,206.10
  4. Step 4: Simplify right side
    10,775.30x = 67,982,353.08
  5. Step 5: Solve for x
    x = 67,982,353.08/10,775.30
  6. Step 6: Final answer
    x = 6,309.09

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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.