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Finding the Fourth Proportional to 7,613.04, 11,419.68 and 2,996

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Solution

The fourth proportional to 7,613.04, 11,419.68 and 2,996 is: 4,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.04 : 11,419.68 = 2,996 : x
  2. Step 2: Convert to fraction form
    7,613.04/11,419.68 = 2,996/x
  3. Step 3: Cross multiply
    7,613.04x = 11,419.68 × 2,996
  4. Step 4: Simplify right side
    7,613.04x = 34,213,361.28
  5. Step 5: Solve for x
    x = 34,213,361.28/7,613.04
  6. Step 6: Final answer
    x = 4,494.05

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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.