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Finding the Fourth Proportional to 10,225.78, 15,338.68 and 3,300.28

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Solution

The fourth proportional to 10,225.78, 15,338.68 and 3,300.28 is: 4,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.78 : 15,338.68 = 3,300.28 : x
  2. Step 2: Convert to fraction form
    10,225.78/15,338.68 = 3,300.28/x
  3. Step 3: Cross multiply
    10,225.78x = 15,338.68 × 3,300.28
  4. Step 4: Simplify right side
    10,225.78x = 50,621,938.83
  5. Step 5: Solve for x
    x = 50,621,938.83/10,225.78
  6. Step 6: Final answer
    x = 4,950.42

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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.