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Finding the Fourth Proportional to 10,409.28, 15,613.89 and 4,253.28

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Solution

The fourth proportional to 10,409.28, 15,613.89 and 4,253.28 is: 6,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.28 : 15,613.89 = 4,253.28 : x
  2. Step 2: Convert to fraction form
    10,409.28/15,613.89 = 4,253.28/x
  3. Step 3: Cross multiply
    10,409.28x = 15,613.89 × 4,253.28
  4. Step 4: Simplify right side
    10,409.28x = 66,410,246.06
  5. Step 5: Solve for x
    x = 66,410,246.06/10,409.28
  6. Step 6: Final answer
    x = 6,379.91

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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.