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Finding the Fourth Proportional to 8,437.29, 12,653.54 and 3,500.82

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Solution

The fourth proportional to 8,437.29, 12,653.54 and 3,500.82 is: 5,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.29 : 12,653.54 = 3,500.82 : x
  2. Step 2: Convert to fraction form
    8,437.29/12,653.54 = 3,500.82/x
  3. Step 3: Cross multiply
    8,437.29x = 12,653.54 × 3,500.82
  4. Step 4: Simplify right side
    8,437.29x = 44,297,771.37
  5. Step 5: Solve for x
    x = 44,297,771.37/8,437.29
  6. Step 6: Final answer
    x = 5,250.24

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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.