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Finding the Fourth Proportional to 7,365, 10,163.72 and 4,053

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Solution

The fourth proportional to 7,365, 10,163.72 and 4,053 is: 5,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365 : 10,163.72 = 4,053 : x
  2. Step 2: Convert to fraction form
    7,365/10,163.72 = 4,053/x
  3. Step 3: Cross multiply
    7,365x = 10,163.72 × 4,053
  4. Step 4: Simplify right side
    7,365x = 41,193,557.16
  5. Step 5: Solve for x
    x = 41,193,557.16/7,365
  6. Step 6: Final answer
    x = 5,593.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.