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Finding the Fourth Proportional to 10,409.10, 15,613.50 and 2,617.86

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Solution

The fourth proportional to 10,409.10, 15,613.50 and 2,617.86 is: 3,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.10 : 15,613.50 = 2,617.86 : x
  2. Step 2: Convert to fraction form
    10,409.10/15,613.50 = 2,617.86/x
  3. Step 3: Cross multiply
    10,409.10x = 15,613.50 × 2,617.86
  4. Step 4: Simplify right side
    10,409.10x = 40,873,957.11
  5. Step 5: Solve for x
    x = 40,873,957.11/10,409.10
  6. Step 6: Final answer
    x = 3,926.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.