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Finding the Fourth Proportional to 10,408.65, 15,613.79 and 3,013.22

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Solution

The fourth proportional to 10,408.65, 15,613.79 and 3,013.22 is: 4,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.65 : 15,613.79 = 3,013.22 : x
  2. Step 2: Convert to fraction form
    10,408.65/15,613.79 = 3,013.22/x
  3. Step 3: Cross multiply
    10,408.65x = 15,613.79 × 3,013.22
  4. Step 4: Simplify right side
    10,408.65x = 47,047,784.30
  5. Step 5: Solve for x
    x = 47,047,784.30/10,408.65
  6. Step 6: Final answer
    x = 4,520.07

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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.