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Finding the Fourth Proportional to 10,537.56, 15,797.97 and 5,859.18

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Solution

The fourth proportional to 10,537.56, 15,797.97 and 5,859.18 is: 8,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.56 : 15,797.97 = 5,859.18 : x
  2. Step 2: Convert to fraction form
    10,537.56/15,797.97 = 5,859.18/x
  3. Step 3: Cross multiply
    10,537.56x = 15,797.97 × 5,859.18
  4. Step 4: Simplify right side
    10,537.56x = 92,563,149.86
  5. Step 5: Solve for x
    x = 92,563,149.86/10,537.56
  6. Step 6: Final answer
    x = 8,784.12

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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.