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Finding the Fourth Proportional to 8,182.50, 11,291.31 and 4,825.15

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Solution

The fourth proportional to 8,182.50, 11,291.31 and 4,825.15 is: 6,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.50 : 11,291.31 = 4,825.15 : x
  2. Step 2: Convert to fraction form
    8,182.50/11,291.31 = 4,825.15/x
  3. Step 3: Cross multiply
    8,182.50x = 11,291.31 × 4,825.15
  4. Step 4: Simplify right side
    8,182.50x = 54,482,264.45
  5. Step 5: Solve for x
    x = 54,482,264.45/8,182.50
  6. Step 6: Final answer
    x = 6,658.39

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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.