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Finding the Fourth Proportional to 11,493, 15,862.54 and 7,507.24

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Solution

The fourth proportional to 11,493, 15,862.54 and 7,507.24 is: 10,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 15,862.54 = 7,507.24 : x
  2. Step 2: Convert to fraction form
    11,493/15,862.54 = 7,507.24/x
  3. Step 3: Cross multiply
    11,493x = 15,862.54 × 7,507.24
  4. Step 4: Simplify right side
    11,493x = 119,083,894.79
  5. Step 5: Solve for x
    x = 119,083,894.79/11,493
  6. Step 6: Final answer
    x = 10,361.43

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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.