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Finding the Fourth Proportional to 10,226.56, 15,340.03 and 3,206.42

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Solution

The fourth proportional to 10,226.56, 15,340.03 and 3,206.42 is: 4,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.56 : 15,340.03 = 3,206.42 : x
  2. Step 2: Convert to fraction form
    10,226.56/15,340.03 = 3,206.42/x
  3. Step 3: Cross multiply
    10,226.56x = 15,340.03 × 3,206.42
  4. Step 4: Simplify right side
    10,226.56x = 49,186,569.84
  5. Step 5: Solve for x
    x = 49,186,569.84/10,226.56
  6. Step 6: Final answer
    x = 4,809.69

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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.