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Finding the Fourth Proportional to 7,309.12, 10,942.08 and 4,837

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Solution

The fourth proportional to 7,309.12, 10,942.08 and 4,837 is: 7,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.12 : 10,942.08 = 4,837 : x
  2. Step 2: Convert to fraction form
    7,309.12/10,942.08 = 4,837/x
  3. Step 3: Cross multiply
    7,309.12x = 10,942.08 × 4,837
  4. Step 4: Simplify right side
    7,309.12x = 52,926,840.96
  5. Step 5: Solve for x
    x = 52,926,840.96/7,309.12
  6. Step 6: Final answer
    x = 7,241.21

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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.