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Finding the Fourth Proportional to 7,613.04, 11,419.50 and 2,682.10

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Solution

The fourth proportional to 7,613.04, 11,419.50 and 2,682.10 is: 4,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.04 : 11,419.50 = 2,682.10 : x
  2. Step 2: Convert to fraction form
    7,613.04/11,419.50 = 2,682.10/x
  3. Step 3: Cross multiply
    7,613.04x = 11,419.50 × 2,682.10
  4. Step 4: Simplify right side
    7,613.04x = 30,628,240.95
  5. Step 5: Solve for x
    x = 30,628,240.95/7,613.04
  6. Step 6: Final answer
    x = 4,023.13

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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.