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Finding the Fourth Proportional to 7,459.96, 11,191.78 and 3,713.50

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Solution

The fourth proportional to 7,459.96, 11,191.78 and 3,713.50 is: 5,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.96 : 11,191.78 = 3,713.50 : x
  2. Step 2: Convert to fraction form
    7,459.96/11,191.78 = 3,713.50/x
  3. Step 3: Cross multiply
    7,459.96x = 11,191.78 × 3,713.50
  4. Step 4: Simplify right side
    7,459.96x = 41,560,675.03
  5. Step 5: Solve for x
    x = 41,560,675.03/7,459.96
  6. Step 6: Final answer
    x = 5,571.17

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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.