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Finding the Fourth Proportional to 8,575.31, 11,834.38 and 4,798.24

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Solution

The fourth proportional to 8,575.31, 11,834.38 and 4,798.24 is: 6,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.31 : 11,834.38 = 4,798.24 : x
  2. Step 2: Convert to fraction form
    8,575.31/11,834.38 = 4,798.24/x
  3. Step 3: Cross multiply
    8,575.31x = 11,834.38 × 4,798.24
  4. Step 4: Simplify right side
    8,575.31x = 56,784,195.49
  5. Step 5: Solve for x
    x = 56,784,195.49/8,575.31
  6. Step 6: Final answer
    x = 6,621.82

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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.