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Finding the Fourth Proportional to 7,527, 11,283 and 2,593.28

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Solution

The fourth proportional to 7,527, 11,283 and 2,593.28 is: 3,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527 : 11,283 = 2,593.28 : x
  2. Step 2: Convert to fraction form
    7,527/11,283 = 2,593.28/x
  3. Step 3: Cross multiply
    7,527x = 11,283 × 2,593.28
  4. Step 4: Simplify right side
    7,527x = 29,259,978.24
  5. Step 5: Solve for x
    x = 29,259,978.24/7,527
  6. Step 6: Final answer
    x = 3,887.34

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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.