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Finding the Fourth Proportional to 10,226.99, 15,340.67 and 3,206.84

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Solution

The fourth proportional to 10,226.99, 15,340.67 and 3,206.84 is: 4,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.99 : 15,340.67 = 3,206.84 : x
  2. Step 2: Convert to fraction form
    10,226.99/15,340.67 = 3,206.84/x
  3. Step 3: Cross multiply
    10,226.99x = 15,340.67 × 3,206.84
  4. Step 4: Simplify right side
    10,226.99x = 49,195,070.74
  5. Step 5: Solve for x
    x = 49,195,070.74/10,226.99
  6. Step 6: Final answer
    x = 4,810.32

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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.