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Finding the Fourth Proportional to 7,165.50, 10,744.29 and 4,825.38

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Solution

The fourth proportional to 7,165.50, 10,744.29 and 4,825.38 is: 7,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.50 : 10,744.29 = 4,825.38 : x
  2. Step 2: Convert to fraction form
    7,165.50/10,744.29 = 4,825.38/x
  3. Step 3: Cross multiply
    7,165.50x = 10,744.29 × 4,825.38
  4. Step 4: Simplify right side
    7,165.50x = 51,845,282.08
  5. Step 5: Solve for x
    x = 51,845,282.08/7,165.50
  6. Step 6: Final answer
    x = 7,235.40

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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.