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Finding the Fourth Proportional to 7,699.49, 11,494.55 and 7,426.12

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Solution

The fourth proportional to 7,699.49, 11,494.55 and 7,426.12 is: 11,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.49 : 11,494.55 = 7,426.12 : x
  2. Step 2: Convert to fraction form
    7,699.49/11,494.55 = 7,426.12/x
  3. Step 3: Cross multiply
    7,699.49x = 11,494.55 × 7,426.12
  4. Step 4: Simplify right side
    7,699.49x = 85,359,850.17
  5. Step 5: Solve for x
    x = 85,359,850.17/7,699.49
  6. Step 6: Final answer
    x = 11,086.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.