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Finding the Fourth Proportional to 10,535, 15,797.88 and 3,956.57

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Solution

The fourth proportional to 10,535, 15,797.88 and 3,956.57 is: 5,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535 : 15,797.88 = 3,956.57 : x
  2. Step 2: Convert to fraction form
    10,535/15,797.88 = 3,956.57/x
  3. Step 3: Cross multiply
    10,535x = 15,797.88 × 3,956.57
  4. Step 4: Simplify right side
    10,535x = 62,505,418.07
  5. Step 5: Solve for x
    x = 62,505,418.07/10,535
  6. Step 6: Final answer
    x = 5,933.12

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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.