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Finding the Fourth Proportional to 10,409.04, 15,613.52 and 4,171.84

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Solution

The fourth proportional to 10,409.04, 15,613.52 and 4,171.84 is: 6,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.04 : 15,613.52 = 4,171.84 : x
  2. Step 2: Convert to fraction form
    10,409.04/15,613.52 = 4,171.84/x
  3. Step 3: Cross multiply
    10,409.04x = 15,613.52 × 4,171.84
  4. Step 4: Simplify right side
    10,409.04x = 65,137,107.28
  5. Step 5: Solve for x
    x = 65,137,107.28/10,409.04
  6. Step 6: Final answer
    x = 6,257.74

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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.